On the rotational symmetry of 3-dimensional $\kappa$-solutions
Differential Geometry
2019-04-12 v1 Analysis of PDEs
Abstract
In a recent paper, Brendle showed the uniqueness of the Bryant soliton among 3-dimensional -solutions. In this paper, we present an alternative proof for this fact and show that compact -solutions are rotational symmetric. Our proof arose from independent work relating to our Strong Stability Theorem for singular Ricci flows.
Cite
@article{arxiv.1904.05388,
title = {On the rotational symmetry of 3-dimensional $\kappa$-solutions},
author = {Richard H. Bamler and Bruce Kleiner},
journal= {arXiv preprint arXiv:1904.05388},
year = {2019}
}
Comments
20 pages