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.
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页码：1529 / 1564
页数：36
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