Local isoperimetric inequalities in metric measure spaces verifying measure contraction property

被引：0
|
作者：
Huang, Xian-Tao [1 ]
机构：
[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Peoples R China
来源：
MANUSCRIPTA MATHEMATICA | 2023年 / 171卷 / 1-2期
关键词：
RICCI CURVATURE; SHARP; GEOMETRY;
D O I：
10.1007/s00229-022-01373-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that on an essentially non-branching MCP(K, N) space, if a geodesic ball has a volume lower bound and satisfies some additional geometric conditions, then in a smaller geodesic ball (in a quantified sense) we have an estimate on the isoperimetric constants.
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页码：1 / 21
页数：21
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