Continuity of total curvatures of Riemannian hypersurfaces
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915904801996800 |
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| author | Ghomi, Mohammad |
| author_facet | Ghomi, Mohammad |
| contents | We show that total generalized mean curvatures of hypersurfaces with positive reach in Riemannian manifolds, and convex bodies in Cartan-Hadamard spaces, are continuous with respect to Hausdorff distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15955 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Continuity of total curvatures of Riemannian hypersurfaces Ghomi, Mohammad Differential Geometry Primary: 53C21, 53C65, Secondary: 52A20, 53C24 We show that total generalized mean curvatures of hypersurfaces with positive reach in Riemannian manifolds, and convex bodies in Cartan-Hadamard spaces, are continuous with respect to Hausdorff distance. |
| title | Continuity of total curvatures of Riemannian hypersurfaces |
| topic | Differential Geometry Primary: 53C21, 53C65, Secondary: 52A20, 53C24 |
| url | https://arxiv.org/abs/2511.15955 |