Canonical metric connections with constant holomorphic sectional curvature
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908300752191488 |
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| author | Chen, Shuwen Zheng, Fangyang |
| author_facet | Chen, Shuwen Zheng, Fangyang |
| contents | We consider the conjecture of Chen and Nie concerning the space forms for canonical metric connections of compact Hermitian manifolds. We verify the conjecture for two special types of Hermitian manifolds: complex nilmanifolds with nilpotent $J$, and non-balanced Bismut torsion-parallel manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03032 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Canonical metric connections with constant holomorphic sectional curvature Chen, Shuwen Zheng, Fangyang Differential Geometry 53C55 We consider the conjecture of Chen and Nie concerning the space forms for canonical metric connections of compact Hermitian manifolds. We verify the conjecture for two special types of Hermitian manifolds: complex nilmanifolds with nilpotent $J$, and non-balanced Bismut torsion-parallel manifolds. |
| title | Canonical metric connections with constant holomorphic sectional curvature |
| topic | Differential Geometry 53C55 |
| url | https://arxiv.org/abs/2501.03032 |