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Killing vector field

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A Killing vector field is an infinitesimal isometry.

Definition

For (X,g) a Riemannian manifold (or pseudo-Riemannian manifold) a vector field v∈Γ(TX) is called a Killing vector field if it generates isometries of the metric g. More precisely, if, equivalently

Created on October 1, 2010 12:29:54 by Urs Schreiber (89.204.153.98)
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