Mathematical Research Letters

Volume 18 (2011)

Number 3

Uniqueness of gradient Ricci solitons

Pages: 531 – 538

DOI: http://dx.doi.org/10.4310/MRL.2011.v18.n3.a13

Author

Simon Brendle (Stanford University, 450 Serra Mall, Bldg 380, Stanford, CA 94305)

Abstract

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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