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arXiv:1202.1264 [math.DG]AbstractReferencesReviewsResources

Rotational symmetry of self-similar solutions to the Ricci flow

S. Brendle

Published 2012-02-06, updated 2013-02-03Version 3

Let (M,g) be a three-dimensional steady gradient Ricci soliton which is non-flat and \kappa-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.

Comments: Final version, to appear in Invent. Math
Categories: math.DG, math.AP
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