Conformal vector fields on lcK manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912167535575040 |
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| author | Moroianu, Andrei Pilca, Mihaela |
| author_facet | Moroianu, Andrei Pilca, Mihaela |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_06851 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Conformal vector fields on lcK manifolds Moroianu, Andrei Pilca, Mihaela Differential Geometry 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. |
| title | Conformal vector fields on lcK manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2106.06851 |