Extensions of isometric immersions and Cartan-Ambrose-Hicks theorem based on submanifolds
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929635506257920 |
|---|---|
| author | Yu, Chengjie |
| author_facet | Yu, Chengjie |
| contents | In this paper, we study the general extension problem for isometric immersions by establishing Cartan-Ambrose-Hicks theorems based on submanifolds. Our method also provides geometric constructions of such extensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1911_13242 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Extensions of isometric immersions and Cartan-Ambrose-Hicks theorem based on submanifolds Yu, Chengjie Differential Geometry In this paper, we study the general extension problem for isometric immersions by establishing Cartan-Ambrose-Hicks theorems based on submanifolds. Our method also provides geometric constructions of such extensions. |
| title | Extensions of isometric immersions and Cartan-Ambrose-Hicks theorem based on submanifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/1911.13242 |