Takumi Yokota

activity

20082026

most citedPerelman's reduced volume and a gap theorem for the Ricci flow

11 citations · 17 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.MG2022

Boundedness of measured Gromov-Hausdorff precompact sets of metric measure spaces in pyramids

Daisuke Kazukawa, Takumi Yokota

We prove that any measured Gromov-Hausdorff precompact set of metric measure spaces which is contained in a certain set, called a pyramid, is bounded by some metric measure space w…

math.MG2021

Boundedness of precompact sets of metric measure spaces

Daisuke Kazukawa, Takumi Yokota

We give a detailed proof to Gromov's statement that precompact sets of metric measure spaces are bounded with respect to the box distance and the Lipschitz order.

math.MG2008★ 6 cited

Cone structure of $L^{2}$ -Wasserstein spaces

Asuka Takatsu, Takumi Yokota

The purpose of this paper is to understand the geometric structure of the $L^{2}$ -Wasserstein space $\pp$ over the Euclidean space.For this sake, we focus on its cone structure.One o…

Boundedness of measured Gromov-Hausdorff precompact sets of metric measure spaces in pyramids

Boundedness of precompact sets of metric measure spaces

Cone structure of L2-Wasserstein spaces

Cone structure of $L^{2}$ -Wasserstein spaces