Conformal vector fields on lcK manifolds

被引：0

作者：

Moroianu, Andrei ^{[1
]}

Pilca, Mihaela ^{[2
]}

机构：

[1] Univ Paris Saclay, Lab Math Orsay, CNRS, F-91405 Orsay, France

[2] Univ Regensburg, Fak Math, Univ Str 31, D-93040 Regensburg, Germany

来源：

MATHEMATICAL RESEARCH LETTERS | 2023年 / 30卷 / 05期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Kahler cover is neither flat, nor hyperkahler, is holomorphic.

引用

页码：1591 / 1608

页数：18

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