Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.15677 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912340701609984 |
|---|---|
| author | Hu, Yingxiang Li, Haizhong Wan, Yao Xu, Botong |
| author_facet | Hu, Yingxiang Li, Haizhong Wan, Yao Xu, Botong |
| contents | In this paper, the notion of hyperbolic ellipsoids in hyperbolic space is introduced. Using a natural orthogonal projection from hyperbolic space to Euclidean space, we establish affine isoperimetric type inequalities for static convex domains in hyperbolic space. Moreover, equality of such inequalities is characterized by these hyperbolic ellipsoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15677 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Affine isoperimetric type inequalities for static convex domains in hyperbolic space Hu, Yingxiang Li, Haizhong Wan, Yao Xu, Botong Differential Geometry 52A40, 53C24, 53A15 In this paper, the notion of hyperbolic ellipsoids in hyperbolic space is introduced. Using a natural orthogonal projection from hyperbolic space to Euclidean space, we establish affine isoperimetric type inequalities for static convex domains in hyperbolic space. Moreover, equality of such inequalities is characterized by these hyperbolic ellipsoids. |
| title | Affine isoperimetric type inequalities for static convex domains in hyperbolic space |
| topic | Differential Geometry 52A40, 53C24, 53A15 |
| url | https://arxiv.org/abs/2504.15677 |