The Blaschke rolling theorem in Riemannian manifolds of bounded curvature
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913875591430144 |
|---|---|
| author | Drach, Kostiantyn |
| author_facet | Drach, Kostiantyn |
| contents | We generalize the classical Blaschke Rolling Theorem to convex domains in Riemannian manifolds of bounded sectional curvature and arbitrary dimension. Our results are sharp and, in this sharp form, are new even in the model spaces of constant curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02739 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Blaschke rolling theorem in Riemannian manifolds of bounded curvature Drach, Kostiantyn Differential Geometry Metric Geometry We generalize the classical Blaschke Rolling Theorem to convex domains in Riemannian manifolds of bounded sectional curvature and arbitrary dimension. Our results are sharp and, in this sharp form, are new even in the model spaces of constant curvature. |
| title | The Blaschke rolling theorem in Riemannian manifolds of bounded curvature |
| topic | Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2404.02739 |