Killing Fields on Compact Pseudo-Kähler Manifolds

被引：0
|
作者：
Andrzej Derdzinski
Ivo Terek
机构：
[1] The Ohio State University,Department of Mathematics
来源：
The Journal of Geometric Analysis | 2024年 / 34卷
关键词：
Compact pseudo-Kähler manifold; Killing vector field; Primary 53C50; Secondary 53C56;
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摘要：
We show that a Killing field on a compact pseudo-Kähler ddbar manifold is necessarily (real) holomorphic. Our argument works without the ddbar assumption in real dimension four. The claim about holomorphicity of Killing fields on compact pseudo-Kähler manifolds appears in a 2012 paper by Yamada, and in an appendix we provide a detailed explanation of why we believe that Yamada’s argument is incomplete.
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