Conformal vector fields on lcK manifolds
Differential Geometry
2024-12-25 v1
Abstract
We show that any conformal vector field on a compact lcK manifold is Killing with respect to the Gauduchon metric. Furthermore, we prove that any conformal vector field on a compact lcK manifold whose K\"ahler cover is neither flat, nor hyperk\"ahler, is holomorphic.
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Cite
@article{arxiv.2106.06851,
title = {Conformal vector fields on lcK manifolds},
author = {Andrei Moroianu and Mihaela Pilca},
journal= {arXiv preprint arXiv:2106.06851},
year = {2024}
}
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13 pages