On the rotational symmetry of 3-dimensional κ-solutions

Richard H. Bamler; Bruce Kleiner

doi:10.1515/crelle-2021-0037

On the rotational symmetry of 3-dimensional κ-solutions

Richard H. Bamler, Bruce Kleiner

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In a recent paper, Brendle showed the uniqueness of the Bryant soliton among 3-dimensional κ-solutions. In this paper, we present an alternative proof for this fact and show that compact κ-solutions are rotationally symmetric. Our proof arose from independent work relating to our Strong Stability Theorem for singular Ricci flows.

Original language	English (US)
Pages (from-to)	37-55
Number of pages	19
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2021
Issue number	779
DOIs	https://doi.org/10.1515/crelle-2021-0037
State	Published - Oct 1 2021

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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On the rotational symmetry of 3-dimensional κ-solutions

Abstract

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