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VOL. 57 | 2010 A gap theorem for ancient solutions to the Ricci flow
Takumi Yokota

Editor(s) Motoko Kotani, Masanori Hino, Takashi Kumagai

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

Rights: Copyright © 2010 Mathematical Society of Japan

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