On curvature estimates for four-dimensional gradient Ricci solitons
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_ | 1866912633394823168 |
|---|---|
| author | Cao, Huai-Dong |
| author_facet | Cao, Huai-Dong |
| contents | In this survey paper, we analyse and compare the recent curvature estimates for three types of $4$-dimensional gradient Ricci solitons, especially between Ricci shrinkers [58] and expanders [17]. In addition, we provide some new curvature estimates for $4$-dimensional gradient steady Ricci solitons, including the sharp curvature estimate $|Rm|\le C R$ for gradient steady Ricci solitons with positive Ricci curvature (see Theorem 1.1). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On curvature estimates for four-dimensional gradient Ricci solitons Cao, Huai-Dong Differential Geometry 53C25 In this survey paper, we analyse and compare the recent curvature estimates for three types of $4$-dimensional gradient Ricci solitons, especially between Ricci shrinkers [58] and expanders [17]. In addition, we provide some new curvature estimates for $4$-dimensional gradient steady Ricci solitons, including the sharp curvature estimate $|Rm|\le C R$ for gradient steady Ricci solitons with positive Ricci curvature (see Theorem 1.1). |
| title | On curvature estimates for four-dimensional gradient Ricci solitons |
| topic | Differential Geometry 53C25 |
| url | https://arxiv.org/abs/2510.06059 |