Isoparametric functions on Finsler space forms
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908504042766336 |
|---|---|
| author | Chen, Yali He, Qun |
| author_facet | Chen, Yali He, Qun |
| contents | In this paper, we prove that transnormal functions are isoparametric functions on Finsler space forms (N(c), F) under certain conditions, which generalize Theorem B given by Q.M. Wang in Riemannian case. Next, we discuss the relationship between umbilic hypersurfaces and isoparametric hypersurfaces in (N(c), F). Further more, we construct a locally isoparametric function by a distance function and give a global isoparametric function on a standard Finsler sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_07625 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Isoparametric functions on Finsler space forms Chen, Yali He, Qun Differential Geometry 53C20, 53C60, 53C42 In this paper, we prove that transnormal functions are isoparametric functions on Finsler space forms (N(c), F) under certain conditions, which generalize Theorem B given by Q.M. Wang in Riemannian case. Next, we discuss the relationship between umbilic hypersurfaces and isoparametric hypersurfaces in (N(c), F). Further more, we construct a locally isoparametric function by a distance function and give a global isoparametric function on a standard Finsler sphere. |
| title | Isoparametric functions on Finsler space forms |
| topic | Differential Geometry 53C20, 53C60, 53C42 |
| url | https://arxiv.org/abs/2212.07625 |