Submanifolds of Constant Negative Curvature: A Generalization of Hilbert's Theorem
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914175764135936 |
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| author | Moore, John Douglas |
| author_facet | Moore, John Douglas |
| contents | We use the generalized Gauss-Bonnet formula for Riemannian polyhedra discovered by Allendoerfer, Weil and Chern to show that hyperbolic space of dimension $n$ has no isometric immersion into Euclidean space of dimension $2n-1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00973 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Submanifolds of Constant Negative Curvature: A Generalization of Hilbert's Theorem Moore, John Douglas Differential Geometry We use the generalized Gauss-Bonnet formula for Riemannian polyhedra discovered by Allendoerfer, Weil and Chern to show that hyperbolic space of dimension $n$ has no isometric immersion into Euclidean space of dimension $2n-1$. |
| title | Submanifolds of Constant Negative Curvature: A Generalization of Hilbert's Theorem |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2512.00973 |