ON TANGENT CONES IN WASSERSTEIN SPACE

被引：6

作者：

Lott, John ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 07期

关键词：

METRIC-MEASURE-SPACES; GAUSS CURVATURE; TRANSPORT;

D O I：

10.1090/proc/13415

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If M is a smooth compact Riemannian manifold, let P(M) denote the Wasserstein space of probability measures on M. If S is an embedded submanifold of M, and mu is an absolutely continuous measure on S, then we compute the tangent cone of P(M) at mu.

引用

页码：3127 / 3136

页数：10

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