Curvature estimates for hypersurfaces of constant curvature in hyperbolic space II
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914506886610944 |
|---|---|
| author | Wang, Bin |
| author_facet | Wang, Bin |
| contents | In this note, we investigate the existence of smooth complete hypersurfaces in hyperbolic space with constant $(n-2)$-curvature and a prescribed asymptotic boundary at infinity. Previously, the existence was known only for a restricted range of curvature values, while in here, by deriving curvature estimates, we are able to deduce the existence for all possible curvature values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00760 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Curvature estimates for hypersurfaces of constant curvature in hyperbolic space II Wang, Bin Differential Geometry Analysis of PDEs Primary 53C21, Secondary 35J60, 53C40 In this note, we investigate the existence of smooth complete hypersurfaces in hyperbolic space with constant $(n-2)$-curvature and a prescribed asymptotic boundary at infinity. Previously, the existence was known only for a restricted range of curvature values, while in here, by deriving curvature estimates, we are able to deduce the existence for all possible curvature values. |
| title | Curvature estimates for hypersurfaces of constant curvature in hyperbolic space II |
| topic | Differential Geometry Analysis of PDEs Primary 53C21, Secondary 35J60, 53C40 |
| url | https://arxiv.org/abs/2505.00760 |