The behavior of the second Ricci flow on complex parallelizable manifolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866912195593371648 |
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| author | Bedulli, Lucio Vezzoni, Luigi |
| author_facet | Bedulli, Lucio Vezzoni, Luigi |
| contents | We study the flow of Hermitian metrics governed by the second Chern-Ricci form on a compact complex manifolds. The flow belongs to the family of Hermitian curvature flows introduced by Streets and Tian and it was considered by Lee in order to study compact Hermitian manifolds with almost negative Chern bisectional curvature. We show a regularity result on compact complex parallelizable manifolds and we prove that Chern-flat metrics are dynamically stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17061 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The behavior of the second Ricci flow on complex parallelizable manifolds Bedulli, Lucio Vezzoni, Luigi Differential Geometry We study the flow of Hermitian metrics governed by the second Chern-Ricci form on a compact complex manifolds. The flow belongs to the family of Hermitian curvature flows introduced by Streets and Tian and it was considered by Lee in order to study compact Hermitian manifolds with almost negative Chern bisectional curvature. We show a regularity result on compact complex parallelizable manifolds and we prove that Chern-flat metrics are dynamically stable. |
| title | The behavior of the second Ricci flow on complex parallelizable manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2407.17061 |