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arXiv · 2106.06851

Conformal vector fields on lcK manifolds

Andrei Moroianu·Mihaela Pilca
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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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BibTeXRIS

Andrei Moroianu, Mihaela Pilca. 2021-06-12. Conformal vector fields on lcK manifolds. https://doi.org/10.4310/mrl.2023.v30.n5.a12

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