Conformal vector fields on lcK manifolds

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Research Letters Pub Date : 2024-05-14 DOI:10.4310/mrl.2023.v30.n5.a12

Andrei Moroianu, Mihaela Pilca

引用次数: 0

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 Kähler cover is neither flat, nor hyperkähler, is holomorphic.

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lcK 流形上的共形向量场

我们证明了紧凑 lcK 流形上的任何共形向量场相对于高都松度量都是基林的。此外，我们还证明了紧凑 lcK 流形上的任何共形向量场（其凯勒盖既不是平的，也不是超凯勒的）都是全态的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Research Letters 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6.0 months

期刊介绍： Dedicated to publication of complete and important papers of original research in all areas of mathematics. Expository papers and research announcements of exceptional interest are also occasionally published. High standards are applied in evaluating submissions; the entire editorial board must approve the acceptance of any paper.