On the asymptotic reduced volume of the Ricci flow

Takumi Yokota

doi:10.1007/s10455-009-9184-6

On the asymptotic reduced volume of the Ricci flow

Takumi Yokota

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

In this article, we consider two different monotone quantities defined for the Ricci flow and show that their asymptotic limits coincide for any ancient solutions. One of the quantities we consider here is Perelman's reduced volume, while the other is the local quantity discovered by Ecker, Knopf, Ni, and Topping. This establishes a relation between these two monotone quantities.

Original language	English
Pages (from-to)	263-274
Number of pages	12
Journal	Annals of Global Analysis and Geometry
Volume	37
Issue number	3
DOIs	https://doi.org/10.1007/s10455-009-9184-6
Publication status	Published - 2010 Mar 1
Externally published	Yes

Keywords

Ancient solution
Monotonicity formula
Reduced volume
Ricci flow

ASJC Scopus subject areas

Analysis
Political Science and International Relations
Geometry and Topology

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Yokota, T. (2010). On the asymptotic reduced volume of the Ricci flow. Annals of Global Analysis and Geometry, 37(3), 263-274. https://doi.org/10.1007/s10455-009-9184-6

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