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1979

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/16918

A necessary and sufficient condition for a vector field to be Killing

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Abstract

Lynge (see (4)), proved that X vector field on a compact and connected manifold M, is Killing in a Riemannian metric g, if and only if there exist k complete vector fields X1 , ... , Xk; such that: 1) The fl.ows of the Xi are a11 periodic, 2) [X;, X;]= O, i,j = 1, ... , k, 3) = E,! 1 c; X;, c; real numbers...

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Varietats (Matemàtica)

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Manifolds (Mathematics)

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Articles publicats en revistes (Matemàtiques i Informàtica)

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CURRÁS BOSCH, Carlos. A necessary and sufficient condition for a vector field to be Killing. Collectanea Mathematica. 1979. Vol. 30, num. 3, pags. 181-188. ISSN 0010-0757. [consulted: 11 of June of 2026]. Available at: https://hdl.handle.net/2445/16918

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