differential-geometric connection

differential-geometric connection
ктп дифференциально-геометрическая связность

English-russian dictionary of physics. 2013.

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  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Differential geometry — A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparallel lines. Differential geometry is a mathematical discipline that uses the techniques of differential and integral calculus, as well as… …   Wikipedia

  • Connection (mathematics) — In geometry, the notion of a connection makes precise the idea of transporting data along a curve or family of curves in a parallel and consistent manner. There are a variety of kinds of connections in modern geometry, depending on what sort of… …   Wikipedia

  • Differential form — In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a better[further explanation needed] definition… …   Wikipedia

  • Differential topology — In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds. It is closely related to differential geometry and together they make up the geometric theory of differentiable manifolds.… …   Wikipedia

  • Differential (calculus) — In mathematics, and more specifically, in differential calculus, the term differential has several interrelated meanings.Basic notions* In traditional approaches to calculus, the differential (e.g. dx, dy, dt, etc...) of a function represents an… …   Wikipedia

  • Differential signaling — This article is about electric signals via wires. For an immunological model attempting to explain how T cells survive selection during maturation, see Differential Signaling Hypothesis. Differential signaling is a method of transmitting… …   Wikipedia

  • Differential (mathematics) — In mathematics, the term differential has several meanings. Contents 1 Basic notions 2 Differential geometry 3 Algebraic geometry 4 Other meanings …   Wikipedia

  • Geometric algebra — In mathematical physics, a geometric algebra is a multilinear algebra described technically as a Clifford algebra over a real vector space equipped with a non degenerate quadratic form. Informally, a geometric algebra is a Clifford algebra that… …   Wikipedia

  • Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the …   Wikipedia

  • Riemannian connection on a surface — For the classical approach to the geometry of surfaces, see Differential geometry of surfaces. In mathematics, the Riemannian connection on a surface or Riemannian 2 manifold refers to several intrinsic geometric structures discovered by Tullio… …   Wikipedia


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