In
:1. The theorem that for a Lie group "G", any closed
:2. A theorem on
See also
References
* | year=2001 | volume=34
Wikimedia Foundation. 2010.
Cartan–Hadamard theorem — The Cartan–Hadamard theorem is a statement in Riemannian geometry concerning the structure of complete Riemannian manifolds of non positive sectional curvature. The theorem states that the universal cover of such a manifold is diffeomorphic to a… … Wikipedia
Cartan–Kähler theorem — In mathematics, the Cartan–Kähler theorem is a major result on the integrability conditions for differential systems, in the case of analytic functions, for differential ideals I . It is named for Élie Cartan and Erich Kähler.It is not true that… … Wikipedia
Cartan-Dieudonné theorem — In mathematics, the Cartan Dieudonné theorem, named after Élie Cartan and Jean Dieudonné, is a theorem on the structure of the automorphism group of symmetric bilinear spaces.tatement of the theoremLet ( V , b ) be an n dimensional, non… … Wikipedia
Cartan's equivalence method — In mathematics, Cartan s equivalence method is a technique in differential geometry for determining whether two geometrical structures are the same up to a diffeomorphism. For example, if M and N are two Riemannian manifolds with metrics g and h … Wikipedia
Cartan's criterion — is an important mathematical theorem in the foundations of Lie algebra theory that gives conditions for a Lie agebra to be nilpotent, solvable, or semisimple. It is based on the notion of the Killing form, a symmetric bilinear form on mathfrak{g} … Wikipedia
Cartan's theorems A and B — In mathematics, Cartan s theorems A and B are two results proved by Henri Cartan around 1951, concerning a coherent sheaf F on a Stein manifold X . They are significant both as applied to several complex variables, and in the general development… … Wikipedia
Cartan-Kuranishi prolongation theorem — Given an exterior differential system defined on a manifold M , the Cartan Kuranishi prolongation theorem says that after a finite number of prolongations the system is either in involution (admits at least one large integral manifold), or is… … Wikipedia
Élie Cartan — Infobox Person name = Élie Joseph Cartan image size = 200px caption = Professor Élie Joseph Cartan birth date = birth date|1869|4|9 birth place = Dolomieu, Savoie, France death date = death date and age|1951|5|6|1869|4|9 death place = Paris,… … Wikipedia
Elie Cartan — Élie Joseph Cartan (* 9. April 1869 in Dolomieu, Dauphiné; † 6. Mai 1951 in Paris) war ein französischer Mathematiker, der bedeutende Beiträge zur Theorie der Lie Gruppen und ihrer Anwendungen lieferte. Er leistete darüber hinaus bedeutende… … Deutsch Wikipedia
Elie Joseph Cartan — Élie Joseph Cartan (* 9. April 1869 in Dolomieu, Dauphiné; † 6. Mai 1951 in Paris) war ein französischer Mathematiker, der bedeutende Beiträge zur Theorie der Lie Gruppen und ihrer Anwendungen lieferte. Er leistete darüber hinaus bedeutende… … Deutsch Wikipedia
