Rigidity of the Bryant Ricci soliton
Differential Geometry
2023-02-23 v2
Abstract
We introduce a new curvature-pinching condition, which is weaker than the positive sectional curvature or PIC1, and then we prove several rigidity results for the rotationally symmetric solutions of steady Ricci solitons, i.e., the Bryant Ricci solitons.
Cite
@article{arxiv.2212.02889,
title = {Rigidity of the Bryant Ricci soliton},
author = {Ziyi Zhao and Xiaohua Zhu},
journal= {arXiv preprint arXiv:2212.02889},
year = {2023}
}
Comments
Some parts in Section 1 are revised