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arXiv · 1202.1264

Rotational symmetry of self-similar solutions to the Ricci flow

S. Brendle
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Abstract

Let (M,g) be a three-dimensional steady gradient Ricci soliton which is non-flat and κ-noncollapsed. We prove that (M,g) is isometric to the Bryant soliton up to scaling. This solves a problem mentioned in Perelman's first paper.

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S. Brendle. 2013-02-03. Rotational symmetry of self-similar solutions to the Ricci flow. https://doi.org/10.1007/s00222-013-0457-0

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