A note on flatness of non separable tangent cone at a barycenter

被引：2

作者：

Le Gouic, Thibaut ^{[1
,2
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Aix Marseille Univ, I2M, Cent Marseille, UMR 7373,CNRS, F-13453 Marseille, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2020年 / 358卷 / 04期

关键词：

ALEXANDROV SPACES;

D O I：

10.5802/crmath.66

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a probability measure P on an Alexandrov space S with curvature bounded below, we prove that the support of the pushforward of P on the tangent cone T-b* S at its (exponential) barycenter b* is a subset of a Hilbert space. without separability oldie tangent cone.

引用

页码：489 / 495

页数：7

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