Abstract
We outline the proof of the gap theorem stating that any ancient solution to the Ricci flow with Perelman's reduced volume whose asymptotic limit is sufficiently close to that of the Gaussian soliton must be isometric to the Euclidean space for all time. This is the main result of the author's paper [Yo].
Information
Published: 1 January 2010
First available in Project Euclid: 24 November 2018
zbMATH: 1197.53086
MathSciNet: MR2648276
Digital Object Identifier: 10.2969/aspm/05710505
Subjects:
Primary:
53C21
Keywords:
asymptotic volume ratio
,
gradient Ricci soliton
,
reduced volume
,
Ricci flow
Rights: Copyright © 2010 Mathematical Society of Japan
