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Antisymmetric tensor

In mathematics and theoretical physics, a tensor is antisymmetric or alternating on (or with respect to) an index subset if it alternates sign (+/−) when any two indices of the subset are interchanged. The index subset must generally either be all covariant or all contravariant.

Examples, Notation & Antisymmetric and symmetric tensors

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Antisymmetric and symmetric tensors

Notation

Examples

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Antisymmetric tensor

Nodes20
Edges19
Triples5
Avg. degree1.9
Density0.1
Components1

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Antisymmetric tensor

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related to Examples · 5
Antisymmetric tensor → Riemannian, The, The Riemannian, Totally, Trivially

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Important terminology

tensor antisymmetric displaystyle indices symmetric dots pair covariant order frac index tensors sign ijk -t respect subset contravariant completely notation

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SubjectPredicateObjectConfidenceSrc
Antisymmetric tensorrelated to ExamplesTotally0.60section
Antisymmetric tensorrelated to ExamplesTrivially0.60section
Antisymmetric tensorrelated to ExamplesThe0.60section
Antisymmetric tensorrelated to ExamplesThe Riemannian0.60section
Antisymmetric tensorrelated to ExamplesRiemannian0.60section

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