Uniqueness of gradient Ricci solitons

Details Uniqueness of gradient Ricci solitons Uniqueness of gradient Ricci solitons

2010-10-18

arxiv.org/abs/1010.3684v2

Mathematics

Differential Geometry

revised version, to appear in Math. Res. Letters

Scientific paper

We show that a three-dimensional steady gradient Ricci soliton which is
asymptotic to the Bryant soliton in a suitable sense must be isometric to the
Bryant soliton.

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