Geometry and Analysis of Gradient Ricci Solitons in Dimension Four
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910613865758720 |
|---|---|
| author | Cao, Xiaodong Tran, Hung |
| author_facet | Cao, Xiaodong Tran, Hung |
| contents | [Dedicated to Richard S. Hamilton on forty years of Ricci flow] Gradient Ricci solitons have garnered significant attention both as self-similar solutions and singularity models of the Ricci flow. This survey article starts with a list of examples; it also provides some geometric aspects of gradient Ricci solitons, including various asymptotic behaviors; finally, it discusses some recent results on classification and rigidity. In particular, this survey focuses on dimension four. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13123 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometry and Analysis of Gradient Ricci Solitons in Dimension Four Cao, Xiaodong Tran, Hung Differential Geometry [Dedicated to Richard S. Hamilton on forty years of Ricci flow] Gradient Ricci solitons have garnered significant attention both as self-similar solutions and singularity models of the Ricci flow. This survey article starts with a list of examples; it also provides some geometric aspects of gradient Ricci solitons, including various asymptotic behaviors; finally, it discusses some recent results on classification and rigidity. In particular, this survey focuses on dimension four. |
| title | Geometry and Analysis of Gradient Ricci Solitons in Dimension Four |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2409.13123 |