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prolongation theorem

См. также в других словарях:

  • 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

  • List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

  • Integrability conditions for differential systems — In mathematics, certain systems of partial differential equations are usefully formulated, from the point of view of their underlying geometric and algebraic structure, in terms of a system of differential forms. The idea is to take advantage of… …   Wikipedia

  • Masatake Kuranishi — (jap. 倉西 正武, Kuranishi Masatake; * 19. Juli 1924 in Tokio, Präfektur Tokio) ist ein japanischer Mathematiker, der sich mit komplexer Analysis, partiellen Differentialgleichungen und Differentialgeometrie beschäftigt. Inhaltsverzeichnis 1 Leben 2… …   Deutsch 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

  • 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

  • Differential invariant — In mathematics, a differential invariant is an invariant for the action of a Lie group on a space that involves the derivatives of graphs of functions in the space. Differential invariants are fundamental in projective differential geometry, and… …   Wikipedia

  • G-structure — In differential geometry, a G structure on an n manifold M , for a given structure group [Which is a Lie group G o GL(n,mathbf{R}) mapping to the general linear group GL(n,mathbf{R}). This is often but not always a Lie subgroup; for instance, for …   Wikipedia

  • Differential operator — In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation, accepting a function and returning… …   Wikipedia

  • Gottfried Leibniz — Infobox Philosopher region = Western Philosophy era = 18th century philosophy color = #B0C4DE |250px image caption = Gottfried Wilhelm Leibniz name = Gottfried Wilhelm Leibniz birth = 1 July (21 June Old Style) 1646, Leipzig, Electorate of Saxony …   Wikipedia

  • Theoreme de Cauchy-Lipschitz — Théorème de Cauchy Lipschitz Pour les articles homonymes, voir Cauchy. Cauchy développe une première version du théorème de l article. Le …   Wikipédia en Français

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