Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2502.18967 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929732403068928 |
|---|---|
| author | Eschenburg, Jost-Hinrich Heintze, Ernst Quast, Peter |
| author_facet | Eschenburg, Jost-Hinrich Heintze, Ernst Quast, Peter |
| contents | We prove that a compact, intrinsically symmetric submanifold of a Euclidean space is extrinsically symmetric if and only if its maximal tori are Clifford tori in the ambient space. Moreover, we show that this result can be used to give a geometric proof of a result of Harish-Chandra on strongly orthogonal roots in semisimple Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18967 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extrinsically Symmetric Spaces, Submanifolds of Clifford Type and a Theorem of Harish-Chandra Eschenburg, Jost-Hinrich Heintze, Ernst Quast, Peter Differential Geometry 53C35, 53C40 We prove that a compact, intrinsically symmetric submanifold of a Euclidean space is extrinsically symmetric if and only if its maximal tori are Clifford tori in the ambient space. Moreover, we show that this result can be used to give a geometric proof of a result of Harish-Chandra on strongly orthogonal roots in semisimple Lie algebras. |
| title | Extrinsically Symmetric Spaces, Submanifolds of Clifford Type and a Theorem of Harish-Chandra |
| topic | Differential Geometry 53C35, 53C40 |
| url | https://arxiv.org/abs/2502.18967 |