Three-Dimensional Alexandrov Spaces with Positive or Nonnegative Ricci Curvature

被引：4
作者：
Deng, Qintao [1 ,2 ]
Galaz-Garcia, Fernando [3 ]
Guijarro, Luis [4 ,5 ]
Munn, Michael [6 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, 152 Luoyu Rd, Wuhan 430079, Hubei, Peoples R China
[2] Cent China Normal Univ, Hubei Key Lab Math Sci, 152 Luoyu Rd, Wuhan 430079, Hubei, Peoples R China
[3] Karlsruher Inst Technol, Inst Algebra & Geometrie, Englerstr 2, D-76131 Karlsruhe, Germany
[4] Univ Autonoma Madrid, Dept Math, Madrid, Spain
[5] UCM, UAM, CSIC, ICMAT,UC3M, Madrid, Spain
[6] NYU, Courant Inst, 251 Mercer St, New York, NY 10012 USA
来源：
POTENTIAL ANALYSIS | 2018年 / 48卷 / 02期
关键词：
Alexandrov space; Ricci curvature; Metric measure space; Curvature-dimension; METRIC-MEASURE-SPACES;
D O I：
10.1007/s11118-017-9633-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study closed three-dimensional Alexandrov spaces with a lower Ricci curvature bound in the CD (au)(K,N) sense, focusing our attention on those with positive or nonnegative Ricci curvature. First, we show that a closed three-dimensional CD (au)(2,3)-Alexandrov space must be homeomorphic to a spherical space form or to the suspension of . We then classify closed three-dimensional CD (au)(0,3)-Alexandrov spaces.
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页码：223 / 238
页数：16
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