Essential points of conformal vector fields

@article{Belgun2011EssentialPO,
  title={Essential points of conformal vector fields},
  author={F. Belgun and Andrei Moroianu and L. Ornea},
  journal={Journal of Geometry and Physics},
  year={2011},
  volume={61},
  pages={589-593}
}
An essential point of a conformal vector fieldon a conformal manifold (M,c) is a point around which the local flow ofpreserves no metric in the conformal class c. It is well-known that a conformal vector field vanishes at each essential point. In this note we show that essential points are isolated. This is a generalization to higher dimensions of the fact that the zeros of a holomorphic function are isolated. As an application, we show that every connected component of the zero set of a… Expand
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