Geometry and Analysis of Gradient Ricci Solitons in Dimension Four
Differential Geometry
2024-09-23 v1
Abstract
[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.
Keywords
Cite
@article{arxiv.2409.13123,
title = {Geometry and Analysis of Gradient Ricci Solitons in Dimension Four},
author = {Xiaodong Cao and Hung Tran},
journal= {arXiv preprint arXiv:2409.13123},
year = {2024}
}
Comments
survey paper