On the propagation of singularities of constant curvature, convex hypersurfaces
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917801910861824 |
|---|---|
| author | Smith, Graham |
| author_facet | Smith, Graham |
| contents | We describe the structure of the singular sets of constant curvature, convex hypersurfaces in hyperbolic space for general convex curvature functions. We apply this result to the study of the ideal Plateau problem in hyperbolic space for such curvature functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09950 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the propagation of singularities of constant curvature, convex hypersurfaces Smith, Graham Differential Geometry 35J60, 52A20, 53C21, 53C42, 58K30, 58J47, 58J05 We describe the structure of the singular sets of constant curvature, convex hypersurfaces in hyperbolic space for general convex curvature functions. We apply this result to the study of the ideal Plateau problem in hyperbolic space for such curvature functions. |
| title | On the propagation of singularities of constant curvature, convex hypersurfaces |
| topic | Differential Geometry 35J60, 52A20, 53C21, 53C42, 58K30, 58J47, 58J05 |
| url | https://arxiv.org/abs/2410.09950 |