On equivariant isometric embeddings of Riemannian manifolds with symmetries
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909919200935936 |
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| author | Qiu, Hongda |
| author_facet | Qiu, Hongda |
| contents | Let $(M,g)$ be a $C^\infty$-smooth, $n$-dimensional Riemannian manifold which is diffeomorphic to $\RR^n$ and admit an action of a properly discontinuous and cocompact group. This work proves the existence of a $C^\infty$ equivariant isometric embedding of $M$ in some Euclidean space $\RR^q$ where $q = \max\{s_n+2n, s_n+n+5\}$ is the same as the dimension of Matthias Günther's results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09931 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On equivariant isometric embeddings of Riemannian manifolds with symmetries Qiu, Hongda Differential Geometry Let $(M,g)$ be a $C^\infty$-smooth, $n$-dimensional Riemannian manifold which is diffeomorphic to $\RR^n$ and admit an action of a properly discontinuous and cocompact group. This work proves the existence of a $C^\infty$ equivariant isometric embedding of $M$ in some Euclidean space $\RR^q$ where $q = \max\{s_n+2n, s_n+n+5\}$ is the same as the dimension of Matthias Günther's results. |
| title | On equivariant isometric embeddings of Riemannian manifolds with symmetries |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2511.09931 |