Mathematical Research Letters

Volume 18 (2011)

Number 3

Uniqueness of gradient Ricci solitons

Pages: 531 – 538



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


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.

Published 20 May 2011