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On the zeros of a conformal vector field
Published online by Cambridge University Press: 22 January 2016
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In [1] S. Kobayashi showed that the connected components of the set of zeros of a Killing vector field on a Riemannian manifold (Mn,g) are totally geodesic submanifolds of (Mn,g) of even codimension including the case of isolated singular points. The purpose of this short note is to give a simple proof of the corresponding result for conformal vector fields on compact Riemannian manifolds. In particular we prove the following
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1974
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