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differential homomorphism

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  • Differential graded algebra — In mathematics, in particular abstract algebra and topology, a differential graded algebra is a graded algebra with an added chain complex structure that respects the algebra structure. Contents 1 Definition 2 Examples of DGAs 3 Other facts about …   Wikipedia

  • Chern–Weil homomorphism — In mathematics, the Chern–Weil homomorphism is a basic construction in the Chern–Weil theory, relating for a smooth manifold M the curvature of M to the de Rham cohomology groups of M, i.e., geometry to topology. This theory of Shiing Shen Chern… …   Wikipedia

  • List of differential geometry topics — This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. Contents 1 Differential geometry of curves and surfaces 1.1 Differential geometry of curves 1.2 Differential… …   Wikipedia

  • Kähler differential — In mathematics, Kähler differentials provide an adaptation of differential forms to arbitrary commutative rings or schemes. Contents 1 Presentation 2 Construction 3 Use in algebraic geometry …   Wikipedia

  • Pushforward (differential) — Suppose that phi; : M → N is a smooth map between smooth manifolds; then the differential of phi; at a point x is, in some sense, the best linear approximation of phi; near x . It can be viewed as generalization of the total derivative of… …   Wikipedia

  • Hypergeometric differential equation — In mathematics, the hypergeometric differential equation is a second order linear ordinary differential equation (ODE) whose solutions are given by the classical hypergeometric series. Every second order linear ODE with three regular singular… …   Wikipedia

  • Lie group — Lie groups …   Wikipedia

  • Butcher group — In mathematics, the Butcher group, named after the New Zealand mathematician John C. Butcher by Hairer Wanner (1974), is an infinite dimensional group first introduced in numerical analysis to study solutions of non linear ordinary differential… …   Wikipedia

  • Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… …   Wikipedia

  • Semigroup — This article is about the algebraic structure. For applications to differential equations, see C0 semigroup. In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation. A semigroup… …   Wikipedia

  • Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …   Wikipedia

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