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In mathematics, a Carnot group (English: /kɑːrˈnoʊ/ kar-NOH, French: [kaʁno]) is a simply connected nilpotent Lie group, together with a derivation of
Carnot_group
French politician, engineer and mathematician (1753–1823)
Lazare Nicolas Marguerite, Comte Carnot (English: /kɑːrˈnoʊ/ kar-NOH, French: [lazaʁ nikɔla maʁɡəʁit kaʁno]; 13 May 1753 – 2 August 1823) was a French
Lazare_Carnot
President of France from 1887 to 1894
François Sadi Carnot (English: /kɑːrˈnoʊ/ kar-NOH, French: [maʁi fʁɑ̃swa sadi kaʁno]; 11 August 1837 – 25 June 1894), known as Sadi Carnot, was a French
Sadi_Carnot_(statesman)
French statesman (1801–1888)
Lazare Hippolyte Carnot (English: /kɑːrˈnoʊ/ kar-NOH, French: [lazaʁ ipɔlit kaʁno]; 6 October 1801, Saint-Omer – 16 March 1888) was a French politician
Hippolyte_Carnot
Group in group theory and physics
_{r}(x,y,t)=(rx,ry,r^{2}t).} These dilations make the Heisenberg group a Carnot group, with stratified Lie algebra h n = V 1 ⊕ V 2 , [ V 1 , V 1 ] = V
Heisenberg_group
the Pansu derivative is a derivative on a Carnot group, introduced by Pierre Pansu (1989). A Carnot group G {\displaystyle G} admits a one-parameter
Pansu_derivative
Fortification system used in 19th-century Europe
A Carnot wall (English: /kɑːrˈnoʊ/ kar-NOH, French: [kaʁno]) is a type of loop-holed wall built in the ditch of a fort or redoubt. It takes its name from
Carnot_wall
Type of generalization of a Riemannian manifold
are called geodesics, and generalize Riemannian geodesics. Carnot group, a class of Lie groups that form sub-Riemannian manifolds. Distribution Hörmander's
Sub-Riemannian_manifold
this group structure, Jm(Rn) is a Carnot group of class m + 1. Because of the properties of jets under function composition, Gnk is a Lie group. The jet
Jet_group
School in Paris
48°53′02″N 2°18′27″E / 48.88389°N 2.30750°E / 48.88389; 2.30750 The Lycée Carnot (English: /kɑːrˈnoʊ/ kar-NOH, French: [lise kaʁno]) is a public secondary
Lycée_Carnot
Energy storage system
A Carnot battery (English: /kɑːrˈnoʊ/ kar-NOH, French: [kaʁno]) is a type of energy storage system that stores electricity in thermal energy storage. During
Carnot_battery
1894 murder of the French President
against Carnot, as Vaillant's young daughter Sidonie became orphaned. Caserio, a refugee in France, then likely started working with a small group of anarchists
Assassination_of_Sadi_Carnot
French pre-dreadnought battleship
Carnot was a pre-dreadnought battleship of the French Navy. She was laid down in July 1891, launched in July 1894, and completed in July 1897. She was
French_battleship_Carnot
Seventh letter in the Greek alphabet
lowercase letter η is used as a symbol in: Thermodynamics, the efficiency of a Carnot heat engine, or packing fraction. Aeronautics, the propulsive efficiency
Eta
Concept in metric geometry
equipped with its Carnot–Carathéodory metric. In particular, the tangent object is a Carnot group in the equiregular case. Carnot groups thus serve as infinitesimal
Metric_tangent_cone
Political group during the French Revolution
Joseph Cambon Edmond Louis Alexis Dubois-Crancé Jean Francois Rewbell Lazare Carnot (Formerly a Plain) Philippe-Antoine Merlin de Douai (Formerly a Plain) Henri
The_Mountain
Italian anarchist and assassin of French president Carnot in 1894
propagandist by the deed. He is primarily known for assassinating Sadi Carnot, the sitting president of the French Republic, on 24 June 1894. This act
Sante_Geronimo_Caserio
French textile company
French sericulture. This rival group, the Carnot Group, was founded by Ernest Carnot, of the Carnot family. Ernest Carnot (1866–1955) was a civil mining
Cellatex
Study of geometric properties of sets through measure theory
(subsets of) metric spaces, e.g. SubRiemannian manifolds, Carnot groups, Heisenberg groups, etc. Connections to singular integrals, Fourier transform
Geometric_measure_theory
Lie group of complex numbers of unit modulus; topologically a circle
887–897. doi:10.1007/BF00972413. Le Donne, Enrico (2025). Metric Lie Groups: Carnot-Carathéodory Spaces from the Homogeneous Viewpoint. Graduate Texts in
Circle_group
Political party in France
Gironde, hence the name of the Girondins), with a small group of more advanced democrats (Lazare Carnot, Georges Couthon, and Jean-Baptiste Robert Lindet)
Feuillant_(political_group)
victorious and gained an increased majority, which resulted in President Sadi Carnot inviting Jean Casimir-Perier to form a government. However, there was increasing
1893 French legislative election
1893_French_legislative_election
French research institute
was originally created to group the 15 laboratories of the engineering school Arts et Métiers ParisTech. It received the Carnot label in 2006. ARTS was
Carnot_Institute_ARTS
Austrian mathematician and theoretical physicist (1844–1906)
and solids. Boltzmann also extended his theory in his 1877 paper beyond Carnot, Rudolf Clausius, James Clerk Maxwell and Lord Kelvin by demonstrating that
Ludwig_Boltzmann
Group of Bretons representatives attending the Estates General of 1789 in France
met in the Café Amaury at the corner of the Saint-Cloud avenue and the Carnot street at Versailles, to debate of the Estates General subjects before the
Club_Breton
Association football club in France
L'École de Sport Reims Sainte-Anne Carnot Châtillons, commonly known as Reims Sainte-Anne, is a football club founded in 1974 in Reims, France. As of the
EF_Reims_Sainte-Anne
Professor of mathematics
α {\displaystyle C^{1,\alpha }} regularity of the free boundary in Carnot groups of step two". Advances in Mathematics. 211 (2): 485–516. doi:10.1016/j
Donatella_Danielli
Type of mathematical fractal space
Riemannian manifolds. Spaces that satisfy these conditions include Carnot groups and other sub-Riemannian manifolds, but not classic fractals such as
Laakso_space
German mathematician (born 1961)
Klingenberg. Her dissertation, Zur Theorie der Carnot-Caratheodory Metriken und ihren Anwendungen [The theory of Carnot–Caratheodory metrics and their applications]
Ursula_Hamenstädt
Region with boundary of finite measure
recent developments and open problems in metric measure spaces, in Carnot groups and in infinite-dimensional Gaussian spaces. Caccioppoli, Renato (1927)
Caccioppoli_set
1892–1894 anarchist terrorist campaign
for clemency. Georges Clemenceau and a group of socialist deputies intervened, appealing to president Sadi Carnot for a pardon, but to no avail. As Interior
Ère_des_attentats
Political party in France
of the Committee of Public Safety like Barras, Bertrand Barère, Lazare Carnot, Marc Vadier, Jean Amar and Collot d'Herbois Over the following days, the
Thermidorians
Physics of heat, work, and temperature
German physicist and mathematician Rudolf Clausius restated Carnot's principle known as the Carnot cycle and gave the theory of heat a more accurate and sounder
Thermodynamics
Prison of Cayenne in French Guiana
named Madame Carnot. Her son, Bernard Carnot, had been sent to Devil's Island in 1922 for a murder that he did not commit, and the Carnot family had since
Devil's_Island
French musician (born 1974)
music. Homem-Christo met Thomas Bangalter when they attended the Lycée Carnot in Paris in 1987. It was from there that they discovered their mutual fascination
Guy-Manuel_de_Homem-Christo
SI unit of temperature
\mu (t)} was "Carnot's function", a substance-independent quantity depending on temperature, motivated by an obsolete version of Carnot's theorem. The
Kelvin
Proposed engine
invented by Carmelo J. Scuderi (April 13, 1925 – October 16, 2002). Scuderi Group, an engineering and licensing company based in West Springfield, Massachusetts
Scuderi_engine
Research and training institute in Brest, France
recherche et de l’enseignement supérieur). It is also a member of the Institut Carnot Arts, a major research network that drives industrial innovation at the
Naval Academy Research Institute
Naval_Academy_Research_Institute
Lymphoma research consortium
The CALYM Carnot Institute (Consortium for the Acceleration of Innovation and its Transfer in the Lymphoma Field) is an academic research consortium focusing
CALYM
Relation between vapour pressure and temperature
Clapeyron. However, this relation was in fact originally derived by Sadi Carnot in his Reflections on the Motive Power of Fire, which was published in 1824
Clausius–Clapeyron_relation
French electronic music duo (1993–2021)
Homem-Christo and Thomas Bangalter met in 1987 while attending the Lycée Carnot secondary school in Paris. The two became friends and recorded demos with
Daft_Punk
Political action meant to catalyse revolution
Caserio, seeking revenge for Auguste Vaillant and Émile Henry, stabs Sadi Carnot, the President of France, to death. Caserio is executed by guillotine on
Propaganda_of_the_deed
Measure of temperature relative to absolute zero
Thermodynamic temperature can be defined in purely thermodynamic terms using the Carnot cycle. Thermodynamic temperature was rigorously defined historically long
Thermodynamic_temperature
Interrelated entities that form a whole
"composition". In the 19th century, the French physicist Nicolas Léonard Sadi Carnot, who studied thermodynamics, pioneered the development of the concept of
System
Retrieved 12 April 2020. Charavay, Étienne (1892). Correspondance générale de Carnot: publiee avec des notes historiques et biographiques. Imprimerie nationale
List of longest-reigning monarchs
List_of_longest-reigning_monarchs
Ethnic group
(collège): Collège français Jules-Verne in Antsirabe Lycée Français Sadi-Carnot in Antsiranana – Previously served preschool through senior high school
French_people_in_Madagascar
2012 musical by Dove Attia and François Chouquet
The main role of Ronan had been entrusted initially to Matthieu Carnot. When Carnot suffered from vocal cord problems and had to undergo an operation
1789: Les Amants de la Bastille
1789:_Les_Amants_de_la_Bastille
Observational basis of thermodynamics
eventually became the second law of thermodynamics, was formulated by Sadi Carnot in 1824 in his book Reflections on the Motive Power of Fire. By 1860, as
Laws_of_thermodynamics
Closed-cycle regenerative heat engine
been developed. Theoretical thermal efficiency equals that of the ideal Carnot cycle, i.e. the highest efficiency attainable by any heat engine. However
Stirling_engine
Country in Western Europe
Austrian forces holding it surrendered. Luxembourg's long defence led Lazare Carnot to call Luxembourg "the best fortress in the world, except Gibraltar", giving
Luxembourg
Healthcare investment firm in Boston
which raised $300 million. In 2019, the firm started an incubator called Carnot to test the viability of early-stage biotechnology companies. As of 2020
RA_Capital_Management
French musician (born 1975)
religious. Bangalter met Guy-Manuel de Homem-Christo while attending the Lycée Carnot in 1987. They discovered their mutual fascination with films and music of
Thomas_Bangalter
Political faction in the French Revolution
Gironde, hence the name of the Girondins), with a small group of more advanced democrats (Lazare Carnot, Georges Couthon, and Jean-Baptiste Robert Lindet)
Girondins
Dutch painter (1853–1890)
Indépendants, in Brussels in January 1890. French president Marie François Sadi Carnot was said to have been impressed by Van Gogh's work. After Van Gogh's death
Vincent_van_Gogh
French actor (1935–2024)
978-88-7301-498-0) Philippe Durant, Alain Delon, Jean-Paul Belmondo: Crossed Destinies, Carnot, 2004. Franck Prazan, Alain Delon - My Years in the 50s, Communic'art, 2007
Alain_Delon
Ethnic riots in Lyon, France
France, between 24 and 26 June 1894. Following the assassination of Sadi Carnot by the Italian anarchist Sante Caserio, ethnic violence erupted throughout
1894_anti-Italian_riots
Indian automobile manufacturer
2018, Mahindra acquired a minority stake of 22.9% percent in Carnot Technologies. Carnot Technologies owns and operates smart car firm CarSense. In May
Mahindra_&_Mahindra
Crater on the Moon
Carnot (English: /kɑːrˈnoʊ/ kar-NOH, French: [kaʁno]) is a large crater in the northern part of the Moon's far side. Carnot intrudes into the southern
Carnot_(crater)
Personality construct
Personality test for dark triad Geis, Florence; Christie, Richard; Nelson, Carnot (1970). "In Search of the Machiavel". Studies in Machiavellianism. p. 76
Machiavellianism_(psychology)
Engine that uses steam to perform mechanical work
referred to as a practical Carnot cycle because, when an efficient turbine is used, the TS diagram begins to resemble the Carnot cycle. The main difference
Steam_engine
French writer and politician (1802–1885)
on American Slavery from Victor Hugo, de Tocqueville, Emile de Girardin, Carnot, Passy, Mazzini, Humboldt, O. Lafayette—etc. HeinOnline: Slavery in America
Victor_Hugo
National airline of the Netherlands
on Broome while carrying a package of diamonds. The DC-3 crash landed at Carnot Bay, 80 kilometers from Broome. Pelikaan was subsequently strafed by the
KLM
Terrorist attack in Paris (1982)
terrorism. At 3:25 p.m. on 17 September 1982, a car bomb exploded near Lycée Carnot in Paris, France. The bomb exploded when 61-year-old Amos Man-El, an Israeli
September 1982 Paris car bombing
September_1982_Paris_car_bombing
1789–1799 sociopolitical change in France
La Plaine, headed by Bertrand Barère, Pierre Joseph Cambon, and Lazare Carnot. In the September Massacres, between 1,100 and 1,600 prisoners held in Parisian
French_Revolution
French revolutionary politician (1767–1794)
the Committee. For the second time, Carnot described Saint-Just and Robespierre as "ridiculous dictators". Carnot and Cambon proposed to end the terror
Louis_Antoine_de_Saint-Just
Process of moving heat from one location to another in controlled conditions
principle of the refrigeration cycle was described mathematically by Sadi Carnot in 1824 as a heat engine. The most common types of refrigeration systems
Refrigeration
1791–1795 independent deputies during the French Revolution
with a small group of more advanced democrats (Lazare Carnot, Georges Couthon, and Jean-Baptiste Robert Lindet). Parliamentary groups, such as the Plain
The_Plain
French revolutionary, lawyer and politician (1758–1794)
figures such as the lawyer Martial Herman, the officer and engineer Lazare Carnot and the teacher Joseph Fouché, all of whom would hold significance in his
Maximilien_Robespierre
French scientist
French scientist primarily known for her discovery with her mentor Paul Carnot of Hémopoïétine" (erythropoietin). She also pioneered work that led to the
Clotilde-Camille_Deflandre
years 1894 to 1896 anarchists killed President of France Marie Francois Carnot, Prime Minister of Spain Antonio Cánovas del Castillo, and the Empress of
History_of_terrorism
2023 Islamist attack in northern France
On 13 October 2023, a mass stabbing took place at Gambetta-Carnot school in Arras, Pas-de-Calais, France. Dominique Bernard, a French literature teacher
2023_Arras_school_stabbing
nineteenth season began airing on July 26, 2026. Within the program, a group of professional or even amateur food truck entrepreneurs compete against
List of The Great Food Truck Race episodes
List_of_The_Great_Food_Truck_Race_episodes
1894 anarchist bombing in France
French President Sadi Carnot, the latter became a symbolic enemy of the entire anarchist movement. The anarchists viewed Carnot as primarily responsible
Café_Terminus_attack
Airliner shot down during World War II over Western Australia
were carrying out an attack on Broome. PK-AFV crash-landed on a beach at Carnot Bay, 80 kilometres (50 mi) north of Broome. The Pelikaan was initially registered
1942 KNILM Douglas DC-3 shootdown
1942_KNILM_Douglas_DC-3_shootdown
French philosopher (1925–1995)
undertaken during World War II, during which time he attended the Lycée Carnot. He also spent a year in khâgne at the Lycée Henri IV. During the Nazi occupation
Gilles_Deleuze
President of France from 1995 to 2007
Paris at the Cours Hattemer, a private school. He then attended the Lycée Carnot and the Lycée Louis-le-Grand. After his baccalauréat, behind his father's
Jacques_Chirac
British physicist, engineer and mathematician (1824–1907)
theory of heat and the theory of the heat engine built upon it by Sadi Carnot and Émile Clapeyron. Joule argued for the mutual convertibility of heat
Lord_Kelvin
American physicist
Physics in the Public Interest 1989 Max Born Medal and Prize 1991 Sadi Carnot Award 1993 MacArthur Fellows Program 2000 Volvo Environment Prize "A Renewables-Intensive
Robert H. Williams (physicist)
Robert_H._Williams_(physicist)
Engine in which fuel combusts with an oxidizer
The thermal efficiency of a theoretical cycle cannot exceed that of the Carnot cycle, whose efficiency is determined by the difference between the lower
Internal_combustion_engine
Australia, causing the evacuation flight from Bandung to force-land at Carnot Bay, 90 kilometers north of Broome; three passengers and one crew member
List of aviation accidents and incidents in Indonesia
List_of_aviation_accidents_and_incidents_in_Indonesia
Luxury fashion house
its FW25 collection, titled dictatorship / trimestre d'hiver, at Lycée Carnot in Paris. The show opened with a cardboard tank rolling across the gymnasium
Enfants_Riches_Déprimés
Russian-French mathematician
volume 137. American Mathematical Society, 2007. Pierre Pansu. Métriques de Carnot-Carathéodory et quasiisométries des espaces symétriques de rang un. Ann
Mikhael Gromov (mathematician)
Mikhael_Gromov_(mathematician)
Political party in France
of 1848 (Johns Hopkins Press) 2004, p. 72. Kale. Huntley Dupre, Lazare Carnot, Republican Patriot (Mississippi Valley Press) 1940, p. 243. Adolphe Thiers
Club_de_Clichy
French historian (1930–2006)
he would never forget.[citation needed] After his studies at the lycée Carnot in Paris, he specialised in the history of Ancient Greece, as well as in
Pierre_Vidal-Naquet
Government of France from 1870 to 1940
the 1881 freedom of the press laws. The following year, President Sadi Carnot was stabbed to death by Italian anarchist Caserio. 1894: The Dreyfus Affair:
French_Third_Republic
Mathematical space used to study hyperbolic geometry
Volume 43, Number 2 Oğuzhan Demirel, Emine Soytürk (2008), The Hyperbolic Carnot Theorem In The Poincare Disc Model Of Hyperbolic Geometry, Novi Sad J. Math
Gyrovector_space
Executive power of the French Constitution of 1795–1799
Directory of Carnot. Lazare Nicolas Marguerite Carnot took the place of Abbé Sieyés, who was elected by the Ancients but refused the position. Carnot was an
French_Directory
French revolutionary (1759–1794)
Barère ... publiés par MM. Hippolyte Carnot ... et David, d'Angers ... précédés d'une notice historique, par H. Carnot. [With a portrait.]". Archived from
Georges_Danton
French football club
Killian Le Roy 5 DF FRA Paul Lehoux 7 FW FRA Amine Kashi 8 MF FRA Louis Carnot 9 FW FRA Alvin Doucet 10 MF FRA Mickaël Latour 11 MF FRA Mathéo Remars
Andrézieux-Bouthéon_FC
National mausoleum in Paris
the left of Saint Genevieve is a group including Clovis, the first King to convert to Christianity. The second group is centred around Charlemagne, who
Panthéon
French parliamentary group of moderate republicans
groups. Emmanuel Arago (steering committee, 1873) Jean-Baptiste Billot (steering committee, 1873) François Carquet (secretary, 1871) Hippolyte Carnot
French Republican Left (1871–1885)
French_Republican_Left_(1871–1885)
Iron-based alloy resistant to rust and corrosion
of carbon in the alloyed steels they were testing until in 1898 Adolphe Carnot and E. Goutal noted that chromium steels better resist to oxidation with
Stainless_steel
twenty-four music videos. Group members Thomas Bangalter and Guy-Manuel de Homem-Christo met in 1987 while studying at the Lycée Carnot secondary school. They
Daft_Punk_discography
Captured energy for later usage
German Aerospace Center started to construct the world's first large-scale Carnot battery system, which has 1,000 MWh storage capacity. A rechargeable battery
Energy_storage
Conflict in the Central African Republic since 2012
As a result, hundreds of Muslim refugees sought shelter at a church in Carnot. 29 March — Chadian peacekeepers not a part of MISCA entered Bangui's PK12
Central African Republic Civil War
Central_African_Republic_Civil_War
German polymath and scholar (1777–1855)
S2CID 119136586. Schlesinger 1933, p. 198. Carl Friedrich Gauss: Zusätze.II. In: Carnot, Lazare (1810). Geometrie der Stellung (in German). Translated by H.C. Schumacher
Carl_Friedrich_Gauss
Bacterial infection of the small intestine
novelist, is thought to have died of cholera in Istanbul in 1855. Sadi Carnot, physicist, a pioneer of thermodynamics (d. 1832) Charles X, King of France
Cholera
Emperor of Russia from 1881 to 1894
Alexander III and French President Marie François Sadi Carnot forge an alliance
Alexander_III_of_Russia
1852 essay by Karl Marx on the 1851 French coup d'état
Danton, L. Blanc for Robespierre, Barthélemy for Saint-Just, Flocon for Carnot, and the moon-calf together with the first available dozen debt-encumbered
The Eighteenth Brumaire of Louis Bonaparte
The_Eighteenth_Brumaire_of_Louis_Bonaparte
Series of repressive acts by the French Republic in 1894
execution of Auguste Vaillant on 5 February 1894, after president Sadi Carnot refused to grant him his pardon, was a defining moment of this repression
Repression_of_early_1894
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