11 citations · 17 across the 3 of their papers we have counts for
3 papers
math.DG2009
On the asymptotic reduced volume of the Ricci flow
Takumi Yokota
In this paper, 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 quantit…
math.MG2008★ 6 cited
Cone structure of -Wasserstein spaces
Asuka Takatsu, Takumi Yokota
The purpose of this paper is to understand the geometric structure of the -Wasserstein space $\pp$ over the Euclidean space.For this sake, we focus on its cone structure.One o…
math.DG2008★ 11 cited
Perelman's reduced volume and a gap theorem for the Ricci flow
Takumi Yokota
In this paper, we show that any ancient solution to the Ricci flow with the reduced volume whose asymptotic limit is sufficiently close to that of the Gaussian soliton is isometric…