Hermitian metrics with vanishing second Chern Ricci curvature
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866911554414313472 |
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| author | Broder, Kyle Pulemotov, Artem |
| author_facet | Broder, Kyle Pulemotov, Artem |
| contents | We describe a rigidity phenomenon exhibited by the second Chern Ricci curvature of a Hermitian metric on a compact complex manifold. This yields a characterisation of second Chern Ricci-flat Hermitian metrics on several types of manifolds as well as a range of non-existence results for such metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_10295 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hermitian metrics with vanishing second Chern Ricci curvature Broder, Kyle Pulemotov, Artem Differential Geometry Complex Variables We describe a rigidity phenomenon exhibited by the second Chern Ricci curvature of a Hermitian metric on a compact complex manifold. This yields a characterisation of second Chern Ricci-flat Hermitian metrics on several types of manifolds as well as a range of non-existence results for such metrics. |
| title | Hermitian metrics with vanishing second Chern Ricci curvature |
| topic | Differential Geometry Complex Variables |
| url | https://arxiv.org/abs/2309.10295 |