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arXiv · 1904.05388

On the rotational symmetry of 3-dimensional $\kappa$-solutions

Richard H. Bamler·Bruce Kleiner
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Abstract

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

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Richard H. Bamler, Bruce Kleiner. 2019-04-10. On the rotational symmetry of 3-dimensional $\kappa$-solutions. https://arxiv.org/abs/1904.05388

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