Killing fields on compact pseudo-Kähler manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915069527326720 |
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| author | Derdzinski, Andrzej Terek, Ivo |
| author_facet | Derdzinski, Andrzej Terek, Ivo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_09820 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Killing fields on compact pseudo-Kähler manifolds Derdzinski, Andrzej Terek, Ivo Differential Geometry 53C50 (53C56) 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. |
| title | Killing fields on compact pseudo-Kähler manifolds |
| topic | Differential Geometry 53C50 (53C56) |
| url | https://arxiv.org/abs/2309.09820 |