Conformal Killing vector field

id: conformal-killing-vector-field-238-18662567
title: Conformal Killing vector field
text: In conformal geometry, a conformal Killing vector field on a manifold of dimension n with (pseudo) Riemannian metric g , is a vector field X whose flow defines conformal transformations, that is, preserve g up to scale and preserve the conformal structure. Several equivalent formulations, called the conformal Killing equation, exist in terms of the Lie derivative of the flow e.g. L X g = λ g for some function λ on the manifold. For n ≠ 2 there are a finite number of solutions, specifying the con
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description: Vector field in conformal geometry
original url: https://en.wikipedia.org/wiki/Conformal_Killing_vector_field
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date modified: 2024-02-15T07:02:21Z
main entity: {"identifier":"Q5160242","url":"https://www.wikidata.org/entity/Q5160242"}
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