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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2401.13261 |
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| _version_ | 1866910306577416192 |
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| author | Jiao, Heming Yin, Hanzhang |
| author_facet | Jiao, Heming Yin, Hanzhang |
| contents | In this paper, we obtain the existence criteria for a geometic flow on noncompact affine Riemannian manifolds. Our results can be regarded as a real version of Lee-Tam [19]. As an application, we prove that a complete noncompact Hessian manifold with nonnegative Hessian sectional curvature and bounded geometry is diffeomorphic to $\mathbb{R}^n$ if its tangent bundle has maximal volume growth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13261 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A geometric flow on noncompact affine Riemannian manifolds Jiao, Heming Yin, Hanzhang Differential Geometry In this paper, we obtain the existence criteria for a geometic flow on noncompact affine Riemannian manifolds. Our results can be regarded as a real version of Lee-Tam [19]. As an application, we prove that a complete noncompact Hessian manifold with nonnegative Hessian sectional curvature and bounded geometry is diffeomorphic to $\mathbb{R}^n$ if its tangent bundle has maximal volume growth. |
| title | A geometric flow on noncompact affine Riemannian manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2401.13261 |