A criterion for the existence of Killing vectors in 3D
作者： Boris Kruglikov , Kentaro Tomoda
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摘要: A three-dimensional Riemannian manifold has locally 6, 4, 3, 2, 1 or none independent Killing vectors. We present an explicit algorithm for computing dimension of the infinitesimal isometry algebra. It branches according to values curvature invariants. These are relative differential invariants computed via curvature, but they not scalar polynomial Weyl compare our obstructions existence vectors with known criteria due Singer, Kerr and others.
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