Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.08546 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917638486097920 |
|---|---|
| author | Jian, Run-Qiang Zhang, Zhu-Hong |
| author_facet | Jian, Run-Qiang Zhang, Zhu-Hong |
| contents | We establish three circles theorems for subharmonic functions on Riemannian manifolds with nonnegative Ricci curvature, as well as on gradient shrinking Ricci solitons with scalar curvature bounded from below by $\frac{n-2}{2}$. We also establish a three circiles theorem for holomorphic functions on gradient shrinking Kähler-Ricci solitons with some curvature conditions. As applications, we prove some Liouville type theorems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three circles theorems and Liouville type theorems Jian, Run-Qiang Zhang, Zhu-Hong Differential Geometry 53C21, 53C25 We establish three circles theorems for subharmonic functions on Riemannian manifolds with nonnegative Ricci curvature, as well as on gradient shrinking Ricci solitons with scalar curvature bounded from below by $\frac{n-2}{2}$. We also establish a three circiles theorem for holomorphic functions on gradient shrinking Kähler-Ricci solitons with some curvature conditions. As applications, we prove some Liouville type theorems. |
| title | Three circles theorems and Liouville type theorems |
| topic | Differential Geometry 53C21, 53C25 |
| url | https://arxiv.org/abs/2404.08546 |