Anisotropic Gauss curvature flow of complete non-compact graphs
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914756649025536 |
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| author | Pan, Shujing Wei, Yong |
| author_facet | Pan, Shujing Wei, Yong |
| contents | In this paper, we consider the anisotropic $α$-Gauss curvature flow for complete noncompact convex hypersurfaces in the Euclidean space with the anisotropy determined by a smooth closed uniformly convex Wulff shape. We show that for all positive power $α>0$, if the initial hypersurface is complete noncompact and locally uniformly convex, then the solution of the flow exists for all positive time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10298 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anisotropic Gauss curvature flow of complete non-compact graphs Pan, Shujing Wei, Yong Differential Geometry 53C44, 53C42 In this paper, we consider the anisotropic $α$-Gauss curvature flow for complete noncompact convex hypersurfaces in the Euclidean space with the anisotropy determined by a smooth closed uniformly convex Wulff shape. We show that for all positive power $α>0$, if the initial hypersurface is complete noncompact and locally uniformly convex, then the solution of the flow exists for all positive time. |
| title | Anisotropic Gauss curvature flow of complete non-compact graphs |
| topic | Differential Geometry 53C44, 53C42 |
| url | https://arxiv.org/abs/2404.10298 |