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Émile Cotton
Émile Clément Cotton (5 February 1872 – 14 March 1950) was a professor of mathematics at the University of Grenoble. His PhD thesis studied differential geometry in three dimensions, with the introduction of the Cotton tensor. He held the professorship from 1904 until his 1942 retirement. He was awarded the Legion of Honor. His brother was Aimé Cotton Aimé Auguste Cotton (9 October 1869 – 16 April 1951) was a French physicist known for his studies of the interaction of light with chiral molecules. In the absorption bands of these molecules, he discovered large values of optical rotato ...; their father was a mathematics professor. Publications * ''Cours de mécanique générale. Introduction à l'étude de la mécanique industrielle'' (1920) References Differential geometers French mathematicians 1872 births 1950 deaths {{mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Grenoble
The (, ''Grenoble Alps University'', abbr. UGA) is a Grands établissements, ''grand établissement'' in Grenoble, France. Founded in 1339, it is the third largest university in France with about 60,000 students and over 3,000 researchers. Established as the University of Grenoble by Humbert II of Viennois, it split in 1970 following the widespread civil unrest of May 1968 events, May 1968. Three of the University of Grenoble's successors—Joseph Fourier University, Pierre Mendès-France University, and Stendhal University—merged in 2016 to restore the original institution under the name . In 2020, the Grenoble Institute of Technology, the Grenoble Institute of Political Studies, and the Grenoble School of Architecture also merged with the original university. The university is organized around two closely located urban campuses: Domaine Universitaire, which straddles Saint-Martin-d'Hères and Gières, and Campus GIANT in Grenoble. UGA also owns and operates facilities in V ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Geometry
Differential geometry is a Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as classical antiquity, antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Nikolai Lobachevsky, Lobachevsky. The simplest examples of smooth spaces are the Differential geometry of curves, plane and space curves and Differential geometry of surfaces, surfaces in the three-dimensional Euclidean space, and the study of these shapes formed the basis for development of modern differential geometry during the 18th and 19th centuries. Since the late 19th century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cotton Tensor
In differential geometry, the Cotton tensor on a (pseudo)-Riemannian manifold of dimension ''n'' is a third-order tensor concomitant of the metric. The vanishing of the Cotton tensor for is necessary and sufficient condition for the manifold to be locally conformally flat. By contrast, in dimensions , the vanishing of the Cotton tensor is necessary but not sufficient for the metric to be conformally flat; instead, the corresponding necessary and sufficient condition in these higher dimensions is the vanishing of the Weyl tensor, while the Cotton tensor just becomes a constant times the divergence of the Weyl tensor. For the Cotton tensor is identically zero. The concept is named after Émile Cotton. The proof of the classical result that for the vanishing of the Cotton tensor is equivalent to the metric being conformally flat is given by Eisenhart using a standard integrability argument. This tensor density is uniquely characterized by its conformal properties coupled ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Legion Of Honor
The National Order of the Legion of Honour ( ), formerly the Imperial Order of the Legion of Honour (), is the highest and most prestigious French national order of merit, both military and civil. Currently consisting of five classes, it was originally established in 1802 by Napoleon Bonaparte, and it has been retained (with occasional slight alterations) by all later French governments and regimes. The order's motto is ' ("Honour and Fatherland"); its seat is the Palais de la Légion d'Honneur next to the Musée d'Orsay, on the left bank of the Seine in Paris. Since 1 February 2023, the Order's grand chancellor has been retired General François Lecointre, who succeeded fellow retired General Benoît Puga in office. The order is divided into five degrees of increasing distinction: ' (Knight), ' (Officer), ' (Commander), ' (Grand Officer) and ' (Grand Cross). History Consulate During the French Revolution, all of the French orders of chivalry were abolished and repla ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aimé Cotton
Aimé Auguste Cotton (9 October 1869 – 16 April 1951) was a French physicist known for his studies of the interaction of light with chiral molecules. In the absorption bands of these molecules, he discovered large values of optical rotatory dispersion (ORD), or variation of optical rotation as a function of wavelength ( Cotton effect), as well as circular dichroism or differences of absorption between left and right circularly polarized light. Biography Early years Aimé Cotton was born in Bourg-en-Bresse, Ain on 9 October 1869. His grandfather was director of the École normale (teachers' college) of Bourg, and his father, Eugène Cotton, was a mathematics professor at the college of Bourg, the institution where physicist André-Marie Ampère began his career. Aimé's brother Émile Cotton was a mathematician and academician. Aimé Cotton attended a lycée (high school) in Bourg and then the special mathematics program at the Lycée Blaise Pascal in Clermont-Ferra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Geometers
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of single variable calculus, vector calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Lobachevsky. The simplest examples of smooth spaces are the plane and space curves and surfaces in the three-dimensional Euclidean space, and the study of these shapes formed the basis for development of modern differential geometry during the 18th and 19th centuries. Since the late 19th century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable manifolds. A geometric structure is one which defines some notion of size, distance, shape, volume, or other rigidifying structu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1872 Births
Events January * January 12 – Yohannes IV is crowned Emperor of Ethiopian Empire, Ethiopia in Axum, the first ruler crowned in that city in over 500 years. *January 20 – The Cavite mutiny was an uprising of Filipino military personnel of Fort San Felipe (Cavite), Fort San Felipe, the Spanish arsenal in Cavite, Philippine Islands.Foreman, J., 1906, The set course for her patrol area off the northeastern coast of the main Japanese island HonshÅ«. She arrived, New York: Charles Scribner's Sons February * February 2 – The government of the United Kingdom buys a number of forts on the Gold Coast (region), Gold Coast, from the Netherlands. * February 4 – A great solar flare, and associated geomagnetic storm, makes northern lights visible as far south as Cuba. * February 13 – Rex parade, Rex, the most famous parade on Mardi Gras, parades for the first time in New Orleans for Grand Duke Alexei Alexandrovich of Russia. * February 17 – Filipino peo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
