Essential points of conformal vector fields
Differential Geometry
2019-01-08 v4
Abstract
For a conformal vector field on a Riemannian manifold, we say that a point is essential if there is no local metric in the conformal class for which is Killing. We show that the only essential points are isolated zeros of . As an application, we show that every connected component of the zero set of is totally umbilical.
Keywords
Cite
@article{arxiv.1002.0482,
title = {Essential points of conformal vector fields},
author = {Florin Belgun and Andrei Moroianu and Liviu Ornea},
journal= {arXiv preprint arXiv:1002.0482},
year = {2019}
}