On gluing Alexandrov spaces with lowerRicci curvature bounds

被引：0

作者：

Kapovitch, Vitali ^{[1
]}

Ketterer, Christian ^{[1
]}

Sturm, Karl-Theodor ^{[2
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

[2] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2023年 / 31卷 / 06期

关键词：

METRIC-MEASURE-SPACES; RICCI CURVATURE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that in the class of metric measure space with Alexandrov curvature bounded from below the Riemannian curvature-dimension condition RCD & lowast;(K, N) with K is an element of R & N is an element of [1, infinity) is preserved under doubling and gluing constructions pro-vided the weight in the measure is semiconcave.

引用

页码：1529 / 1564

页数：36

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