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 (2)

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

Cited by in corpus (5)

• On Bach-flat gradient shrinking Ricci solitons
• On four-dimensional anti-self-dual gradient Ricci solitons
• On a classification of the quasi Yamabe gradient solitons
• A lower bound for the scalar curvature of certain steady gradient Ricci solitons
• On rigidity of gradient Kähler-Ricci solitons with harmonic Bochner tensor