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Killing tensor

In mathematics, a Killing tensor or Killing tensor field is a generalization of a Killing vector, for symmetric tensor fields instead of just vector fields. It is a concept in Riemannian and pseudo-Riemannian geometry, and is mainly used in the theory of general relativity. Killing tensors satisfy an equation similar to Killing's equation for Killing…

Examples, Overview & Killing–Yano tensor

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Conformal Killing tensor

Killing–Yano tensor

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Killing tensor

Nodes45
Edges44
Triples37
Avg. degree1.96
Density0.044444
Components1

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Killing tensor

Top relations

related to Kerr metric · 8
Killing tensor → Carter, In, Killing, One Killing, Penrose, The, The Kerr, Walker
related to FLRW metric · 6
Killing tensor → It, Killing, Lemaître, Robertson, The Friedmann, Walker
related to Killing–Yano tensor · 6
Killing tensor → An, Killing, Killing-Yano, Tenseur, While, Yano
related to Definition · 4
Killing tensor → Killing, Killing's, Riemannian, This
related to Examples · 4
Killing tensor → Examples, Killing, Since Killing, The
related to Properties · 4
Killing tensor → Another, Every Killing, Killing, More
related to Conformal Killing tensor · 3
Killing tensor → Conformal Killing, Killing, This
is a · 2
Killing tensor → metric tensor itself, tensor field K

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Important terminology

killing tensor displaystyle tensors conformal yano vectors vector field rank metric also mu generalization equation along symmetric closed every beta

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Killing tensoris atensor field K0.90text
Killing tensoris ametric tensor itself0.90text
Killing tensorrelated to Conformal Killing tensorConformal Killing0.60section
Killing tensorrelated to Conformal Killing tensorKilling0.60section
Killing tensorrelated to Conformal Killing tensorThis0.60section
Killing tensorrelated to DefinitionKilling0.60section
Killing tensorrelated to DefinitionRiemannian0.60section
Killing tensorrelated to DefinitionThis0.60section
Killing tensorrelated to DefinitionKilling's0.60section
Killing tensorrelated to ExamplesSince Killing0.60section
Killing tensorrelated to ExamplesKilling0.60section
Killing tensorrelated to ExamplesExamples0.60section

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