On canonical radial Kaehler metrics
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915686894272512 |
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| author | Loi, Andrea Salis, Filippo Zuddas, Fabio |
| author_facet | Loi, Andrea Salis, Filippo Zuddas, Fabio |
| contents | We prove that a radial Kaehler metric g is Kaehler-Einstein if and only if one of the following conditions is satisfied: 1. g is extremal and it is associated to a Kaehler-Ricci soliton; 2. two different generalized scalar curvatures of g are constant; 3. g is extremal (not cscK) and one of its generalized scalar curvature is constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_15229 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On canonical radial Kaehler metrics Loi, Andrea Salis, Filippo Zuddas, Fabio Differential Geometry We prove that a radial Kaehler metric g is Kaehler-Einstein if and only if one of the following conditions is satisfied: 1. g is extremal and it is associated to a Kaehler-Ricci soliton; 2. two different generalized scalar curvatures of g are constant; 3. g is extremal (not cscK) and one of its generalized scalar curvature is constant. |
| title | On canonical radial Kaehler metrics |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2109.15229 |