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Irish businessman (born 1962)
Albert Manifold (born 1962) is an Irish business executive, who was the chief executive officer of CRH plc from January 2014 to 2024, and then the chairman
Albert_Manifold
Irish businessman (born 1953)
until his retirement on 1 January 2014, when he was succeeded by Albert Manifold. CRH is Ireland's largest company; its primary listing is on the London
Myles_Lee
Irish building materials company
the Global Cement and Concrete Association. The company's then CEO, Albert Manifold, was the GCCA's first president in 2018. CRH (Cement Roadstone Holdings)
CRH_plc
Topics referred to by the same term
manifold Hermitian manifold Iwasawa manifold Orientable manifold Albert Manifold (born 1962), Irish businessman James Chester Manifold (1867–1918), Australian
Manifold_(disambiguation)
Topological space that locally resembles Euclidean space
manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n {\displaystyle n} -dimensional manifold,
Manifold
Manifold upon which it is possible to perform calculus
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow
Differentiable_manifold
British multinational oil and gas company
acquisition of BP. In July 2025, the company announced the appointment of Albert Manifold as its next chairman from 1 October 2025, replacing Helge Lund. In
BP
Riemannian manifold with SU(n) holonomy
differential geometry, a Calabi–Yau manifold, also known as a Calabi–Yau space, is a particular type of manifold which has certain properties, such as
Calabi–Yau_manifold
Canadian businessman (born 1970)
messages condemning BP’s move. In December 2025, BP's board, led by Albert Manifold as Chairman, fired Auchincloss as CEO and appointed Meg O'Neill, a
Murray_Auchincloss
Smooth manifold with an inner product on each tangent space
connection on a Riemannian manifold. Albert Einstein used the theory of pseudo-Riemannian manifolds (a generalization of Riemannian manifolds) to develop general
Riemannian_manifold
Spacetime manifold
certain condition on the causal structure of a spacetime manifold (that is, a Lorentzian manifold). It is called hyperbolic in analogy with the linear theory
Globally_hyperbolic_spacetime
Riemannian manifold which satisfies vacuum Einstein equations
manifold is a Riemannian or pseudo-Riemannian differentiable manifold whose Ricci tensor is proportional to the metric. They are named after Albert Einstein
Einstein_manifold
Norwegian businessman (born 1962)
Else-Cathrine Lund Children 2 13th Chairman of British Petroleum Incumbent Assumed office 2019 Preceded by Carl-Henric Svanberg Succeeded by Albert Manifold
Helge_Lund
Suburb of Dublin, Ireland
Conservative Baronet and large and hated landlord, lived in Kimmage Manor Albert Manifold, former CEO of CRH plc and chairman of BP List of towns and villages
Kimmage
In geometry, a tame manifold is a manifold with a well-behaved compactification. More precisely, a manifold M {\displaystyle M} is called tame if it is
Tame_manifold
Mathematical structure in differential geometry
Poisson manifold is a smooth manifold endowed with a Poisson structure. The notion of Poisson manifold generalises that of symplectic manifold, which in
Poisson_manifold
Branch of mathematics
geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of vector calculus, linear algebra and multilinear
Differential_geometry
School in Dublin, Ireland
Brendan Hyland, swimmer Morgan Kelly, professor of Economics at UCD Albert Manifold, Irish business executive[citation needed] Dave McSharry, Connacht
Templeogue_College
wild embeddings among 3-manifolds, so this property is not automatic. The conjecture was raised in the form of a question by Albert Marden, who proved that
Tameness_theorem
Don Wycherley (SPD) John Hourican, banker, CEO of the Bank of Cyprus Albert Manifold, CEO of CRH plc Brody Sweeney, CEO and founder of O'Briens Irish Sandwich
List of Dublin City University people
List_of_Dublin_City_University_people
King of Hungary 1437–1439, King of the Romans 1438–1439, King of Bohemia 1438–1439
Albert II (German: Albrecht II., 10 August 1397 – 27 October 1439), King of the Romans, was a member of the House of Habsburg. By inheritance he became
Albert_II_of_Germany
Subset of a manifold that is a manifold itself; an injective immersion into a manifold
mathematics, a submanifold of a manifold M {\displaystyle M} is a subset S {\displaystyle S} which itself has the structure of a manifold, and for which the inclusion
Submanifold
Tensor field in Riemannian geometry
to express the curvature of Riemannian manifolds. It assigns a tensor to each point of a Riemannian manifold (i.e., it is a tensor field). It is a local
Riemann_curvature_tensor
Theorem in hyperbolic geometry
hyperbolic manifold of dimension greater than two is determined by the fundamental group and hence unique. The theorem was proven for closed manifolds by Mostow (1968)
Mostow_rigidity_theorem
Surname list
football player Tamara Safonova (née Fedosova in 1946), Russian diver Fedosov manifold This page lists people with the surname Fedosov. If an internal link intending
Fedosov
Differential form
differential form of degree equal to the differentiable manifold dimension. Thus on a manifold M {\displaystyle M} of dimension n {\displaystyle n} , a
Volume_form
Tensor used in general relativity
(named after Albert Einstein; also known as the trace-reversed Ricci tensor) is used to express the curvature of a pseudo-Riemannian manifold. In general
Einstein_tensor
Canadian mathematician (1905–1995)
1007/978-1-4419-6281-2_6. ISBN 978-1-4419-6280-5. Tucker, Albert William (1932). An abstract approach to manifolds (Ph.D.). Princeton University. OCLC 775707046.
Albert_W._Tucker
Differentiable manifold
In mathematics, a CR manifold, or Cauchy–Riemann manifold, is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface
CR_manifold
The geometry and topology of three-manifolds is a set of widely circulated notes for a graduate course taught at Princeton University by William Thurston
The geometry and topology of three-manifolds
The_geometry_and_topology_of_three-manifolds
Group that is also a differentiable manifold with group operations that are smooth
that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable. A manifold is a space that locally resembles
Lie_group
Straight path on a curved surface or a Riemannian manifold
surface, or more generally in a Riemannian manifold. The term also has meaning in any differentiable manifold with a connection. It is a generalization
Geodesic
Supergeometric generalization of a manifold
mathematics and mathematical physics, supermanifolds are generalizations of manifolds in which the algebra of functions includes both commuting and anticommuting
Supermanifold
List of concrete topologies and topological spaces
(pre)order Branching line − A non-Hausdorff manifold. Double origin topology E8 manifold − A topological manifold that does not admit a smooth structure.
List_of_topologies
manifolds and bundle morphisms, and the functor B : F M → M f {\displaystyle B:{\mathcal {FM}}\to {\mathcal {M}}f} associating to any fibred manifold
Natural_bundle
Expression that may be integrated over a region
define integrands over curves, surfaces, volumes, and higher-dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan
Differential_form
Scuba component used to functionally connect diving cylinders
A scuba manifold is a device incorporating one or more valves and one or more gas outlets with scuba regulator connections, used to connect two or more
Scuba_manifold
Topics referred to by the same term
surfaces that restricts the topological type of the underlying topological 4-manifold Emmy Noether (1882–1935), German Jewish mathematician Herglotz–Noether
Noether's theorem (disambiguation)
Noether's_theorem_(disambiguation)
Property of a mathematical space
topological manifold can be calculated. A connected topological manifold is locally homeomorphic to Euclidean n-space, in which the number n is the manifold's dimension
Dimension
Type of geometric surface with folds
University Press, ISBN 978-0-521-61558-7, MR 0903850 Thurston, William (1980), The geometry and topology of three-manifolds, Princeton lecture notes v t e
Pleated_surface
Topological quantum field theory
In mathematics, it has been used to calculate knot invariants and three-manifold invariants such as the Jones polynomial. Particularly, Chern–Simons theory
Chern–Simons_theory
Field-equations in general relativity
solution. Manifolds with a vanishing Ricci tensor, R μ ν = 0 {\displaystyle R_{\mu \nu }=0} , are referred to as Ricci-flat manifolds and manifolds with a
Einstein_field_equations
Invariant of a quadratic form over a field of characteristic 2
invariant of (4k + 2)-dimensional manifolds (singly even-dimensional manifolds: surfaces (2-manifolds), 6-manifolds, 10-manifolds, etc.) with certain additional
Arf_invariant
Tensor in differential geometry
-dimensional Riemannian manifold is contained in S U ( n ) {\displaystyle \mathrm {SU} (n)} , then the manifold is a Ricci-flat Kähler manifold. The Ricci tensor
Ricci_curvature
Array of numbers describing a metric connection
connection is a specialization of the affine connection to surfaces or other manifolds endowed with a metric, allowing distances to be measured on that surface
Christoffel_symbols
American mathematician
Hyperbolic 3-Manifolds by Albert Marden". European Mathematical Society. 15 June 2011. Das, Tushar (1 July 2017). "Review of Hyperbolic Manifolds: An Introduction
Albert_Marden
equations Einstein function Einstein's light box Einstein model Einstein manifold Einstein radius Einstein group Einstein ring Einstein–Infeld–Hoffmann equations
List of things named after Albert Einstein
List_of_things_named_after_Albert_Einstein
Special coordinate system in differential geometry
differential geometry, normal coordinates at a point p in a differentiable manifold equipped with a symmetric affine connection are a local coordinate system
Normal_coordinates
Spacetime modeled by four pointwise-orthonormal vector fields
on the manifold can be expressed using the frame field and its dual coframe field. Frame fields were introduced into general relativity by Albert Einstein
Frame fields in general relativity
Frame_fields_in_general_relativity
Isomorphism between the tangent and cotangent bundles of a manifold
Riemannian or pseudo-Riemannian manifold induced by its metric tensor. There are similar isomorphisms on symplectic manifolds. These isomorphisms are global
Musical_isomorphism
Differentiable function whose derivative is everywhere injective
mathematics, an immersion is a differentiable function between differentiable manifolds whose differential pushforward is everywhere injective. Explicitly, f :
Immersion_(mathematics)
geometrical theory of gravitation are tensor fields defined on a Lorentzian manifold representing spacetime. This article is a general description of the mathematics
Mathematics of general relativity
Mathematics_of_general_relativity
Distance-preserving mathematical transformation
the manifold; a manifold with a (positive-definite) metric is a Riemannian manifold, one with an indefinite metric is a pseudo-Riemannian manifold. Thus
Isometry
Continuous surjection satisfying a local triviality condition
category of smooth manifolds. That is, E {\displaystyle E} , B {\displaystyle B} , and F {\displaystyle F} are required to be smooth manifolds and all the functions
Fiber_bundle
Hypothetical topological feature of spacetime
spacetime manifold depicted by a Lorentzian manifold, and Euclidean wormholes (named after Euclidean manifold, a structure of Riemannian manifold). The Casimir
Wormhole
Theory of subatomic structure
compact extra dimensions must be shaped like a Calabi–Yau manifold. A Calabi–Yau manifold is a special space which is typically taken to be six-dimensional
String_theory
Specification of a derivative along a tangent vector of a manifold
tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing and working with a connection on a manifold by means of a differential
Covariant_derivative
American birthday song
issues on Claim One. A jury trial was requested. Nelson's attorneys Betsy Manifold and Mark Rifkin presented new evidence on July 28, 2015, one day before
Happy_Birthday_to_You
Albert Einstein (1879–1955) was a renowned theoretical physicist of the 20th century, best known for his special and general theories of relativity. He
List of scientific publications by Albert Einstein
List_of_scientific_publications_by_Albert_Einstein
traffic, in stages) 1980 (to all traffic) Now converted to a path Leek and Manifold Valley Light Railway 1934 Now converted to a footpath Leek–Waterhouses
List of closed railway lines in the United Kingdom
List_of_closed_railway_lines_in_the_United_Kingdom
Differential map between manifolds whose differential is everywhere surjective
mathematics, a submersion is a differentiable map between differentiable manifolds whose differential pushforward is everywhere surjective. It is a basic
Submersion_(mathematics)
Egyptian-French mathematician
good measure on a compact manifold, Annales Scientifiques de l'École Normale Supérieure, 4e série, tome 13, 1980, 45-93 "Albert Fathi". Institute for Advanced
Albert_Fathi
Measure of difference between two points
information geometry the corresponding statistical manifold is interpreted as a (dually) flat manifold. This allows many techniques of optimization theory
Bregman_divergence
Method for specifying point positions
standardize the position of the points or other geometric elements on a manifold such as Euclidean space. The coordinates are not interchangeable; they
Coordinate_system
American online prediction gambling company
Emirates United Kingdom Venezuela Yemen Zimbabwe PredictIt Polymarket Manifold (prediction market) Intrade iPredict "Kalshi". Built in NYC. Retrieved
Kalshi
Structure defining distance on a manifold
geometry, a metric tensor (or simply metric) is an additional structure on a manifold M (such as a surface) that allows defining distances and angles, just as
Metric_tensor
American mathematician
the Marden tameness conjecture, a conjecture of Albert Marden. It states that a hyperbolic 3-manifold with finitely generated fundamental group is homeomorphic
Ian_Agol
certain kind of coordinate chart on a smooth manifold, determined by a Riemannian metric on the manifold. They are useful in many problems of geometric
Harmonic_coordinates
Construct allowing differentiation of tangent vector fields of manifolds
smooth manifold which connects nearby tangent spaces, so it permits tangent vector fields to be differentiated as if they were functions on the manifold with
Affine_connection
Canadian mathematician
boundary for an open manifold of dimension greater than five. His doctoral students at Orsay included Francis Bonahon and Albert Fathi. In 1985 he was
Laurent_C._Siebenmann
eleventh problem out of his twenty-four questions, states that hyperbolic 3-manifolds with finitely generated fundamental groups are determined by their topology
Ending_lamination_theorem
Framework of superstring theory
a G2 manifold if one wishes to recover the physics of our four-dimensional world. Another problem is that G2 manifolds are not complex manifolds, so theorists
M-theory
Two interrelated physics theories by Albert Einstein
The theory of relativity comprises two physics theories by Albert Einstein: special relativity and general relativity, proposed and published in 1905 and
Theory_of_relativity
Measure of the curvature of a pseudo-Riemannian manifold
of the curvature of spacetime or, more generally, a pseudo-Riemannian manifold. Like the Riemann curvature tensor, the Weyl tensor expresses the tidal
Weyl_tensor
Affine connection on the tangent bundle of a manifold
connection is the unique affine connection on the tangent bundle of a manifold that preserves the (pseudo-)Riemannian metric and is torsion-free. The
Levi-Civita_connection
Inclusion of one mathematical structure in another, preserving properties of interest
Topology. Dover. ISBN 0-486-65676-4. Kosinski, Antoni Albert (2007) [1993]. Differential manifolds. Mineola, New York: Dover Publications. ISBN 978-0-486-46244-8
Embedding
Simply connected Riemann surface is equivalent to an open disk, complex plane, or sphere
classification of closed orientable Riemannian 2-manifolds into elliptic/parabolic/hyperbolic cases. Each such manifold has a conformally equivalent Riemannian
Uniformization_theorem
Branch of mathematics
mathematical physics. A smooth compact Riemannian manifold can be studied using analytic data. For a compact spin manifold M {\displaystyle M} , the algebra C ∞ (
Noncommutative_geometry
Local and global geometry of the universe
differentiable manifold. A mathematical object that possesses all these properties, compact without boundary and differentiable, is termed a closed manifold. The
Shape_of_the_universe
Debate over Homer's identity and authorship of the Iliad and Odyssey
characterized Phoenician crafts, they are characterized in the Odyssey as "manifold scurvy tricksters" (polypaipaloi, parodying the Greek polydaidaloi, "many-skilled")
Homeric_Question
Algebraic object with geometric applications
an alternative formulation of the intrinsic differential geometry of a manifold in the form of the Riemann curvature tensor. Although seemingly different
Tensor
American mathematician (1942–2017)
of smooth mappings between smooth manifolds of dimensions n (for the source manifold N) and p (for the target manifold P). He determined the precise dimensions
John_N._Mather
Mathematical description of spacetime used in relativity
spacetime in the absence of gravitation. It combines inertial space and time manifolds into a four-dimensional model. The model helps show how a spacetime interval
Minkowski_spacetime
Austrian-German philosopher (1859–1938)
logic. The ontological correlate to the third stratum is the "theory of manifolds". In formal ontology, it is a free investigation where a mathematician
Edmund_Husserl
Compact astronomical body
compact that its gravity prevents anything, including light, from escaping. Albert Einstein's theory of general relativity, which describes gravitation as
Black_hole
Mathematical model combining space and time
path is called the particle's world line. Mathematically, spacetime is a manifold, which is to say, it appears locally "flat" near each point in the same
Spacetime
System of moving vectors in differential geometry
way of transporting geometrical data along smooth curves in a manifold. If the manifold is equipped with an affine connection (a covariant derivative
Parallel_transport
French painter (1881–1953)
Albert Gleizes (French: [albɛʁ ɡlɛz]; 8 December 1881 – 23 June 1953) was a French artist, theoretician, philosopher, a self-proclaimed founder of Cubism
Albert_Gleizes
American mathematician and Nobel Laureate (1928–2015)
Mathematics. It had been well-known since the 1930s that every closed smooth manifold is diffeomorphic to the zero set of some collection of smooth functions
John_Forbes_Nash_Jr.
known as Cartan–Hadamard manifolds? Chern's conjecture (affine geometry) that the Euler characteristic of a compact affine manifold vanishes. Chern's conjecture
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Austrian mathematician
267–309. with T. Y. Thomas: Fields of parallel vectors in non-analytic manifolds in the large. Compositio Mathematica, vol. 5, 1938: pp. 198-207. with
Walther_Mayer
Algebraic operation on coordinate vectors
Exterior form Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors
Dot_product
French television channel
tendencies, in a context in which information is speeding up, getting manifold and trivialized. Critics of TF1 also contend that its news coverage is
TF1
Statement relating differentiable symmetries to conserved quantities
n-dimensional oriented Riemannian or more generally Lorentzian manifold, M and a target manifold T. Let C {\displaystyle {\mathcal {C}}} be the configuration
Noether's_theorem
Name list
hip hop artist Albert Manifold (born 1962), Irish businessman Albert V. Maniscalco (1908–1998), American congressman from New York Albert Manliguis (born
Albert_(given_name)
the new heating plant (a combination boiler and hot water tank) and the manifold system that will control the building's radiant floor heat. Our host accepts
List of This Old House episodes (seasons 11–20)
List_of_This_Old_House_episodes_(seasons_11–20)
Pacifistic proclamation
needs and experiences of every individual, based on his awareness of a manifold of relations, Europe-one could almost say the world-already outlines itself
Manifesto_to_the_Europeans
Field theory involving topological effects in physics
being related to, among other things, knot theory, the theory of four-manifolds, and algebraic topology, and to the theory of moduli spaces in algebraic
Topological quantum field theory
Topological_quantum_field_theory
Semi-submersible offshore drilling rig
Bailout bottle Decompression cylinder Independent doubles Manifolded twin set Scuba manifold Pony bottle Scuba configuration Sidemount Sling cylinder Diving
Byford_Dolphin
Random motion of particles suspended in a fluid
can be defined. Both of these are available on Riemannian manifolds. Riemannian manifolds have the property that geodesics can be described in polar
Brownian_motion
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