Uniqueness of gradient Ricci solitons

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.

revised version, to appear in Math. Res. Letters

References in corpus (1)

• Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Cited by in corpus (2)

• On four-dimensional anti-self-dual gradient Ricci solitons
• A lower bound for the scalar curvature of certain steady gradient Ricci solitons