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
收藏
页码：1591 / 1608
页数：18
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