Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2510.17030 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909857038204928 |
|---|---|
| author | Carvalho, Arnando Tojeiro, Ruy |
| author_facet | Carvalho, Arnando Tojeiro, Ruy |
| contents | We classify the hypersurfaces of dimension n >= 3 with constant sectional curvature in the product spaces R^k x S^{n-k+1} and R^k x H^{n-k+1}, for 2 <= k <= n-1. Our results provide a complete description of these hypersurfaces and extend previous classifications of constant curvature submanifolds in product spaces of space forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17030 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constant curvature hypersurfaces of cylinders over space forms Carvalho, Arnando Tojeiro, Ruy Differential Geometry 53B25 We classify the hypersurfaces of dimension n >= 3 with constant sectional curvature in the product spaces R^k x S^{n-k+1} and R^k x H^{n-k+1}, for 2 <= k <= n-1. Our results provide a complete description of these hypersurfaces and extend previous classifications of constant curvature submanifolds in product spaces of space forms. |
| title | Constant curvature hypersurfaces of cylinders over space forms |
| topic | Differential Geometry 53B25 |
| url | https://arxiv.org/abs/2510.17030 |