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JAN ARNOLDUS-SCHOUTEN

  • Jan Arnoldus Schouten

    • Dutch mathematician (1883–1971)

    Jan Arnoldus Schouten (28 August 1883 – 20 January 1971) was a Dutch mathematician and Professor at the Delft University of Technology. He was an important

    Jan Arnoldus Schouten

    Jan Arnoldus Schouten

    Jan_Arnoldus_Schouten

  • Jan Schouten

    • Topics referred to by the same term

    Jan Schouten may refer to: Jan Arnoldus Schouten (1883–1971), Dutch mathematician Jan Frederik Schouten (1910–1980), Dutch physicist Jan Schouten (geneticist)

    Jan Schouten

    Jan_Schouten

  • Schouten–Nijenhuis bracket

    • the Poisson bracket on the cotangent bundle. It was invented by Jan Arnoldus Schouten (1940, 1953) and its properties were investigated by his student

    Schouten–Nijenhuis bracket

    Schouten–Nijenhuis_bracket

  • Schouten

    • Surname list

    Henk Schouten (1932–2018), Dutch footballer Irene Schouten (born 1992), Dutch speed skater Jaap Schouten (born 1984), Dutch rower Jan Arnoldus Schouten (1883–1971)

    Schouten

    Schouten

  • Schouten tensor

    • Second-order tensor

    In Riemannian geometry the Schouten tensor is a second-order tensor introduced by Jan Arnoldus Schouten defined for n ≥ 3 by: P = 1 n − 2 ( R i c − R 2

    Schouten tensor

    Schouten_tensor

  • List of International Congresses of Mathematicians Plenary and Invited Speakers

    • Giovanni Sansone Francesco Sbrana Gerrit Schaake Emil Schoenbaum Jan Arnoldus Schouten Beniamino Segre Francesco Severi Filippo Sibirani [it] Wacław Sierpiński

    List of International Congresses of Mathematicians Plenary and Invited Speakers

    List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers

  • Weyl–Schouten theorem

    • Theorem in differential geometry

    For higher-dimensional spaces, the Weyl–Schouten theorem (named after Hermann Weyl and Jan Arnoldus Schouten) characterizes the existence of isothermal

    Weyl–Schouten theorem

    Weyl–Schouten_theorem

  • Levi-Civita connection

    • Affine connection on the tangent bundle of a manifold

    \mathbf {R} ^{n(n+1)/2}.} In 1918, independently of Levi-Civita, Jan Arnoldus Schouten obtained analogous results. In the same year, Hermann Weyl generalized

    Levi-Civita connection

    Levi-Civita connection

    Levi-Civita_connection

  • Manifold

    • Topological space that locally resembles Euclidean space

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Manifold

    Manifold

    Manifold

  • Kähler manifold

    • Manifold with Riemannian, complex and symplectic structure

    structure, and a symplectic structure. The concept was first studied by Jan Arnoldus Schouten and David van Dantzig in 1930, and then introduced by Erich Kähler

    Kähler manifold

    Kähler_manifold

  • Ricci calculus

    • Tensor index notation for tensor-based calculations

    popularized in a paper written with his pupil Tullio Levi-Civita in 1900. Jan Arnoldus Schouten developed the modern notation and formalism for this mathematical

    Ricci calculus

    Ricci_calculus

  • Dot product

    • Algebraic operation on coordinate vectors

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Dot product

    Dot_product

  • Albert Nijenhuis

    • Dutch-American mathematician

    laude (Theory of the geometric object). His thesis advisor was Jan Arnoldus Schouten. He came to the United States in 1952 as a Fulbright fellow (1952–1953)

    Albert Nijenhuis

    Albert_Nijenhuis

  • Rob Jetten

    • Prime Minister of the Netherlands since 2026

    Rob Arnoldus Adrianus Jetten (Dutch: [ˈrɔp ˈjɛtə(n)]; born 25 March 1987) is a Dutch politician who has served as prime minister of the Netherlands since

    Rob Jetten

    Rob Jetten

    Rob_Jetten

  • Tensor

    • Algebraic object with geometric applications

    Klein's Erlangen Program. Springer. p. 194. ISBN 978-0-387-94732-7. Schouten, Jan Arnoldus (1954), "Chapter II", Tensor analysis for physicists, Courier Corporation

    Tensor

    Tensor

    Tensor

  • Tensor product

    • Mathematical operation on vector spaces

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Tensor product

    Tensor_product

  • Covariant derivative

    • Specification of a derivative along a tangent vector of a manifold

    other mathematicians, prominent among these being Hermann Weyl, Jan Arnoldus Schouten, and Élie Cartan, that a covariant derivative could be defined abstractly

    Covariant derivative

    Covariant_derivative

  • Fiber bundle

    • Continuous surjection satisfying a local triviality condition

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Fiber bundle

    Fiber bundle

    Fiber_bundle

  • Coordinate system

    • Method for specifying point positions

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Coordinate system

    Coordinate system

    Coordinate_system

  • Matrix (mathematics)

    • Array of numbers

    methods to solve simultaneous equations in 1683. The Dutch mathematician Jan de Witt represented transformations using arrays in his 1659 book Elements

    Matrix (mathematics)

    Matrix (mathematics)

    Matrix_(mathematics)

  • Angular momentum

    • Conserved physical quantity; rotational analogue of linear momentum

    Spring 2011. Archived (PDF) from the original on 2022-10-09. Retrieved 13 Jan 2012. Okulov, A Yu (2008). "Angular momentum of photons and phase conjugation"

    Angular momentum

    Angular momentum

    Angular_momentum

  • Continuum mechanics

    • Branch of physics which studies the behavior of materials modeled as continuous media

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Continuum mechanics

    Continuum_mechanics

  • Affine connection

    • Construct allowing differentiation of tangent vector fields of manifolds

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Affine connection

    Affine connection

    Affine_connection

  • Moment of inertia

    • Scalar measure of the rotational inertia with respect to a fixed axis of rotation

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Moment of inertia

    Moment of inertia

    Moment_of_inertia

  • Linear map

    • Mathematical function, in linear algebra

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Linear map

    Linear_map

  • Jan Frederik Schouten

    • Dutch physicist (1910–1980)

    his contributions to biophysics. Born in Rotterdam as son of Jan Arnoldus Schouten, Schouten received his PhD cum laude in 1937 in Physics at the Utrecht

    Jan Frederik Schouten

    Jan_Frederik_Schouten

  • Stress–energy tensor

    • Tensor describing energy momentum density in spacetime

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Stress–energy tensor

    Stress–energy tensor

    Stress–energy_tensor

  • Hodge star operator

    • Exterior algebraic map taking tensors from p forms to n-p forms

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Hodge star operator

    Hodge_star_operator

  • Symmetric tensor

    • Tensor invariant under permutations of vectors it acts on

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Symmetric tensor

    Symmetric_tensor

  • Symmetric function

    • Function that is invariant under all permutations of its variables

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Symmetric function

    Symmetric_function

  • Kronecker delta

    • Mathematical function of two variables; outputs 1 if they are equal, 0 otherwise

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Kronecker delta

    Kronecker_delta

  • Differential form

    • Expression that may be integrated over a region

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Differential form

    Differential_form

  • Tensor product of modules

    • Operation that pairs a left and a right R-module into an abelian group

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Tensor product of modules

    Tensor_product_of_modules

  • Tensor rank decomposition

    • Decomposition in multilinear algebra

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Tensor rank decomposition

    Tensor_rank_decomposition

  • Maxwell's equations in curved spacetime

    • Electromagnetism in general relativity

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Maxwell's equations in curved spacetime

    Maxwell's equations in curved spacetime

    Maxwell's_equations_in_curved_spacetime

  • Exterior algebra

    • Algebra associated to any vector space

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Exterior algebra

    Exterior algebra

    Exterior_algebra

  • Christoffel symbols

    • Array of numbers describing a metric connection

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Christoffel symbols

    Christoffel_symbols

  • Weyl tensor

    • Measure of the curvature of a pseudo-Riemannian manifold

    antiself-dual parts C+ and C−. The Weyl tensor can also be expressed using the Schouten tensor, which is a trace-adjusted multiple of the Ricci tensor, P = 1 n

    Weyl tensor

    Weyl_tensor

  • Basis (linear algebra)

    • Set of vectors used to define coordinates

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Basis (linear algebra)

    Basis (linear algebra)

    Basis_(linear_algebra)

  • Transpose

    • Matrix operation which flips a matrix over its diagonal

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Transpose

    Transpose

    Transpose

  • Amstelveen

    • Municipality in North Holland, Netherlands

    seat CDA – 1 seat Goed voor Amstelveen – 1 seat 50PLUS – 1 seat Jan Arnoldus Schouten (1883–1971) a Dutch mathematician and academic Johanna Westerdijk

    Amstelveen

    Amstelveen

    Amstelveen

  • General relativity

    • Theory of gravitation as curved spacetime

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    General relativity

    General relativity

    General_relativity

  • Special relativity

    • Theory of interwoven space and time by Albert Einstein

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Special relativity

    Special relativity

    Special_relativity

  • Delft University of Technology

    • Dutch university

    lowest temperature on Earth. Some of the mathematicians include Jan Arnoldus Schouten, contributor to the tensor calculus. Chemists and TU Delft alumni

    Delft University of Technology

    Delft University of Technology

    Delft_University_of_Technology

  • Spinor

    • Non-tensorial representation of the spin group

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Spinor

    Spinor

    Spinor

  • Lie derivative

    • Type of derivative in differential geometry

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Lie derivative

    Lie_derivative

  • Einstein notation

    • Shorthand notation for tensor operations

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Einstein notation

    Einstein_notation

  • Connection form

    • Math/physics concept

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Connection form

    Connection_form

  • One-form

    • Differential form of degree one or section of a cotangent bundle

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    One-form

    One-form

  • Differential geometry

    • Branch of mathematics

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Differential geometry

    Differential geometry

    Differential_geometry

  • Multilinear algebra

    • Branch of mathematics

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Multilinear algebra

    Multilinear_algebra

  • Tensor operator

    • Tensor operator generalizes the notion of operators which are scalars and vectors

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Tensor operator

    Tensor operator

    Tensor_operator

  • Voigt notation

    • Mathematical Concept

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Voigt notation

    Voigt_notation

  • Levi-Civita symbol

    • Antisymmetric permutation object acting on tensors

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Levi-Civita symbol

    Levi-Civita_symbol

  • Tensor field

    • Assignment of a tensor continuously varying across a region of space

    Encyclopaedia of Physics (2nd Edition), McGraw Hill, ISBN 0-07-051400-3. Schouten, Jan Arnoldus (1951), Tensor Analysis for Physicists, Oxford University Press

    Tensor field

    Tensor field

    Tensor_field

  • Differentiable curve

    • Study of curves from a differential point of view

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Differentiable curve

    Differentiable_curve

  • Metric tensor

    • Structure defining distance on a manifold

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Metric tensor

    Metric_tensor

  • Covariant transformation

    • Physics concept

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Covariant transformation

    Covariant transformation

    Covariant_transformation

  • Antisymmetric tensor

    • Tensor equal to the negative of any of its transpositions

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Antisymmetric tensor

    Antisymmetric_tensor

  • Ricci curvature

    • Tensor in differential geometry

    Christoffel symbols Introduction to the mathematics of general relativity Schouten tensor Chow & Knopf 2004, Lemma 3.32 Galloway 2000 Besse 1987, p. 59 Moroianu

    Ricci curvature

    Ricci curvature

    Ricci_curvature

  • Electromagnetic tensor

    • Mathematical object that describes the electromagnetic field in spacetime

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Electromagnetic tensor

    Electromagnetic tensor

    Electromagnetic_tensor

  • Tensor contraction

    • Operation in mathematics

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Tensor contraction

    Tensor_contraction

  • List of people by Erdős number

    • Schmid Gavin Schmidt Bruce Schneier Richard Schoen Robert Scholtz Jan Arnoldus Schouten Erwin Schrödinger G. Peter Scott Robert Thomas Seeley Ed Seidel

    List of people by Erdős number

    List of people by Erdős number

    List_of_people_by_Erdős_number

  • Differential geometry of surfaces

    • Mathematics of smooth surfaces

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Differential geometry of surfaces

    Differential geometry of surfaces

    Differential_geometry_of_surfaces

  • Parallel transport

    • System of moving vectors in differential geometry

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Parallel transport

    Parallel transport

    Parallel_transport

  • Exterior covariant derivative

    • Concept in differential geometry

    ISBN / Date incompatibility (help) Kolář, Ivan; Michor, Peter W.; Slovák, Jan (1993). Natural operations in differential geometry. Berlin: Springer-Verlag

    Exterior covariant derivative

    Exterior_covariant_derivative

  • Cauchy stress tensor

    • Representation of mechanical stress at every point within a deformed 3D object

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Cauchy stress tensor

    Cauchy stress tensor

    Cauchy_stress_tensor

  • Metric connection

    • Construct in differenital geometry

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Metric connection

    Metric_connection

  • Penrose graphical notation

    • Graphical notation for multilinear algebra calculations

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Penrose graphical notation

    Penrose graphical notation

    Penrose_graphical_notation

  • Musical isomorphism

    • Isomorphism between the tangent and cotangent bundles of a manifold

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Musical isomorphism

    Musical_isomorphism

  • Abstract index notation

    • Mathematical notation for tensors and spinors

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Abstract index notation

    Abstract_index_notation

  • Volume form

    • Differential form

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Volume form

    Volume_form

  • Torsion tensor

    • Object in differential geometry

    (2009), Spacetime and fields, arXiv:0911.0334, Bibcode:2009arXiv0911.0334P Schouten, J.A. (1954), Ricci Calculus, Springer-Verlag Schrödinger, E. (1950), Space-Time

    Torsion tensor

    Torsion tensor

    Torsion_tensor

  • History of mathematical notation

    • Origin and evolution of the symbols used to write equations and formulas

    would publish Four Lectures on Relativity and Space. Around 1924, Jan Arnoldus Schouten developed the modern notation and formalism for the Ricci calculus

    History of mathematical notation

    History_of_mathematical_notation

  • Geodesic

    • Straight path on a curved surface or a Riemannian manifold

    1063/1.2834930. ISSN 0021-9606. PMID 18345872. Hait, Diptarka; Estrada Pabón, Jan D.; Stöhr, Martin; Martínez, Todd J. (2025-11-25). "Locating Ab Initio Transition

    Geodesic

    Geodesic

    Geodesic

  • Dimension

    • Property of a mathematical space

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Dimension

    Dimension

    Dimension

  • Riemann curvature tensor

    • Tensor field in Riemannian geometry

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Riemann curvature tensor

    Riemann_curvature_tensor

  • Tensor algebra

    • Universal construction in multilinear algebra

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Tensor algebra

    Tensor_algebra

  • Gluon field strength tensor

    • Second-rank tensor in quantum chromodynamics

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Gluon field strength tensor

    Gluon field strength tensor

    Gluon_field_strength_tensor

  • Covariance and contravariance of vectors

    • Vector behavior under coordinate changes

    Cambridge University Press. ISBN 978-1107661431. OCLC 758983870. J A Schouten (1954). Ricci calculus (2 ed.). Springer. p. 6. Bowen, Ray; Wang, C.-C

    Covariance and contravariance of vectors

    Covariance and contravariance of vectors

    Covariance_and_contravariance_of_vectors

  • List of the Delft University of Technology Alumni

    • of The Netherlands Pieter Hendrik Schoute, Dutch mathematician Jan Arnoldus Schouten, Dutch mathematician and contributor to tensor calculus Egbert Schuurman

    List of the Delft University of Technology Alumni

    List_of_the_Delft_University_of_Technology_Alumni

  • Tensor (intrinsic definition)

    • Coordinate-free definition of a tensor

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Tensor (intrinsic definition)

    Tensor_(intrinsic_definition)

  • Exterior derivative

    • Operation on differential forms

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Exterior derivative

    Exterior_derivative

  • Four-tensor

    • Abbreviation in the fields of special and general relativity

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Four-tensor

    Four-tensor

    Four-tensor

  • Metric tensor (general relativity)

    • Tensor that describes the 4D geometry of spacetime

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Metric tensor (general relativity)

    Metric_tensor_(general_relativity)

  • Covariant formulation of classical electromagnetism

    • Ways of writing certain laws of physics

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Covariant formulation of classical electromagnetism

    Covariant formulation of classical electromagnetism

    Covariant_formulation_of_classical_electromagnetism

  • Centrum Wiskunde & Informatica

    • Dutch research institute

    Dantzig, Jurjen Koksma, Hendrik Anthony Kramers, Marcel Minnaert and Jan Arnoldus Schouten. It was originally called Mathematical Centre (in Dutch: Mathematisch

    Centrum Wiskunde & Informatica

    Centrum_Wiskunde_&_Informatica

  • Introduction to the mathematics of general relativity

    • Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Introduction to the mathematics of general relativity

    Introduction_to_the_mathematics_of_general_relativity

  • Mathematics of general relativity

    • Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Mathematics of general relativity

    Mathematics_of_general_relativity

  • Multi-index notation

    • Mathematical notation

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Multi-index notation

    Multi-index_notation

  • Tensor density

    • Generalization of tensor fields

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Tensor density

    Tensor_density

  • Interior product

    • Mapping from p forms to p-1 forms

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Interior product

    Interior_product

  • Spherical basis

    • Basis used to express spherical tensors

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Spherical basis

    Spherical_basis

  • Einstein tensor

    • Tensor used in general relativity

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Einstein tensor

    Einstein_tensor

  • Mixed tensor

    • Tensor having both covariant and contravariant indices

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Mixed tensor

    Mixed_tensor

  • Spinor bundle

    • Geometric structure

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Spinor bundle

    Spinor_bundle

  • Volta Congress

    • Inter-war cycle of cultural meetings

    will not participate in the congress for concerns of antisemitism. Jan Arnoldus Schouten wrote to the Royal Academy of Italy that he refused to attend as

    Volta Congress

    Volta Congress

    Volta_Congress

  • Dyadics

    • Second order tensor in vector algebra

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Dyadics

    Dyadics

  • Multivector

    • Element of an exterior algebra

    Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Multivector

    Multivector

    Multivector

  • Tensors in curvilinear coordinates

    • Carl Friedrich Gauss Hermann Grassmann Tullio Levi-Civita Gregorio Ricci-Curbastro Bernhard Riemann Jan Arnoldus Schouten Woldemar Voigt Hermann Weyl

    Tensors in curvilinear coordinates

    Tensors_in_curvilinear_coordinates

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JAN ARNOLDUS-SCHOUTEN

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JAN ARNOLDUS-SCHOUTEN