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covariant differentiation

См. также в других словарях:

  • Covariant derivative — In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing and working with a connection on a manifold by means of a… …   Wikipedia

  • Fermi-Walker differentiation — geometry stubIn the theory of Lorentzian manifolds, Fermi Walker differentiation is a generalization of covariant differentiation.Application to general relativityIn general relativity, Fermi Walker derivatives of the spacelike unit vector fields …   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

  • Introduction to mathematics of general relativity — An understanding of calculus and differential equations is necessary for the understanding of nonrelativistic physics. In order to understand special relativity one also needs an understanding of tensor calculus. To understand the general theory… …   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

  • Mathematics of general relativity — For a generally accessible and less technical introduction to the topic, see Introduction to mathematics of general relativity. General relativity Introduction Mathematical formulation Resources …   Wikipedia

  • Electromagnetic wave equation — The electromagnetic wave equation is a second order partial differential equation that describes the propagation of electromagnetic waves through a medium or in a vacuum. The homogeneous form of the equation, written in terms of either the… …   Wikipedia

  • Manifest covariance — In general relativity, an equation is said to be manifestly covariant if all expressions in the equation are tensors. The operations of addition, tensor multiplication, tensor contraction, raising and lowering indices, and covariant… …   Wikipedia

  • Alternatives to general relativity — are physical theories that attempt to describe the phenomena of gravitation in competition to Einstein s theory of general relativity.There have been many different attempts at constructing an ideal theory of gravity. These attempts can be split… …   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

  • Inhomogeneous electromagnetic wave equation — Localized time varying charge and current densities can act as sources of electromagnetic waves in a vacuum. Maxwell s equations can be written in the form of a inhomogeneous electromagnetic wave equation (or often nonhomogeneous electromagnetic… …   Wikipedia

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