Rotational symmetry of self-similar solutions to the Ricci flow

Details Rotational symmetry of self-similar solutions to the Ricci flow Rotational symmetry of self-similar solutions to the Ricci flow

2012-02-06

arxiv.org/abs/1202.1264v2

Mathematics

Differential Geometry

Bounded curvature assumption has been removed

Scientific paper

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

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