- antisymmetric tensor
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кососимметрический тензор
Англо-русский словарь технических терминов. 2005.
antisymmetric tensor
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Antisymmetric tensor — In mathematics and theoretical physics, a tensor is antisymmetric on two indices i and j if it flips sign when the two indices are interchanged: An antisymmetric tensor is a tensor for which there are two indices on which it is antisymmetric. If… … Wikipedia
Antisymmetric — In set theory, the adjective antisymmetric usually refers to an antisymmetric relation.The term antisymmetric function is sometimes used for odd function, although some meanings of antisymmetric are essentiality f ( y , x ) = − f ( x , y ). In… … Wikipedia
antisymmetric — I. | ̷ ̷(ˌ) ̷ ̷ ̷ ̷| adjective Etymology: anti (I) + symmetric of a square matrix or a tensor : having the sign of every element or component changed by the interchange of any two indices of that element or component II. adjective 1. : relating… … Useful english dictionary
Symmetric tensor — In mathematics, a symmetric tensor is a tensor that is invariant under a permutation of its vector arguments. Symmetric tensors of rank two are sometimes called quadratic forms. In more abstract terms, symmetric tensors of general rank are… … Wikipedia
Glossary of tensor theory — This is a glossary of tensor theory. For expositions of tensor theory from different points of view, see:* Tensor * Classical treatment of tensors * Tensor (intrinsic definition) * Intermediate treatment of tensors * Application of tensor theory… … Wikipedia
Contorsion tensor — The contorsion tensor in differential geometry expresses the difference between a metric compatible affine connection with Christoffel symbol Γijk and the unique torsion free Levi Civita connection for the same metric. The contortion tensor is… … Wikipedia
Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… … Wikipedia
Weyl tensor — In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo Riemannian manifold. Like the Riemann curvature tensor, the Weyl tensor expresses the tidal… … Wikipedia
Electromagnetic tensor — Electromagnetism Electricity · … Wikipedia
Torsion tensor — In differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a moving frame around a curve. The torsion of a curve, as it appears in the Frenet Serret formulas, for instance, quantifies the twist of a curve… … 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
