Quaternionic-Kähler manifolds with nonnegative sectional curvature
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909662547279872 |
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| author | Brendle, S. Semmelmann, U. |
| author_facet | Brendle, S. Semmelmann, U. |
| contents | We show that a compact quaternionic-Kähler manifold with positive scalar curvature and nonnegative sectional curvature is isometric to a symmetric space. This extends a classical theorem of Berger. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22181 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quaternionic-Kähler manifolds with nonnegative sectional curvature Brendle, S. Semmelmann, U. Differential Geometry We show that a compact quaternionic-Kähler manifold with positive scalar curvature and nonnegative sectional curvature is isometric to a symmetric space. This extends a classical theorem of Berger. |
| title | Quaternionic-Kähler manifolds with nonnegative sectional curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2506.22181 |