Anisotropic extrinsic radius pinching for hypersurfaces and the stability of the Wulff shape
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915084405571584 |
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| author | Inoue, Toshimi |
| author_facet | Inoue, Toshimi |
| contents | We prove the Hasanis--Koutroufiotis type inequality for the anisotropic extrinsic radius of hypersurfaces in Euclidean space involving the anisotropic mean curvatures. We also study the equality case and proved that an almost extremal hypersurface must be close to the Wulff shape in the sense of the Hausdorff distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20500 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anisotropic extrinsic radius pinching for hypersurfaces and the stability of the Wulff shape Inoue, Toshimi Differential Geometry We prove the Hasanis--Koutroufiotis type inequality for the anisotropic extrinsic radius of hypersurfaces in Euclidean space involving the anisotropic mean curvatures. We also study the equality case and proved that an almost extremal hypersurface must be close to the Wulff shape in the sense of the Hausdorff distance. |
| title | Anisotropic extrinsic radius pinching for hypersurfaces and the stability of the Wulff shape |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2412.20500 |