NONNEGATIVELY CURVED ALEXANDROV SPACES WITH SOULS OF CODIMENSION TWO

被引：2
|
作者：
Li, Xueping [1 ]
机构：
[1] Capital Normal Univ, Dept Math, Beijing, Peoples R China
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 06期
关键词：
Alexandrov space; soul; Sharafutdinov retraction; submetry; topologically nice; space of directions; join; CURVATURE; MANIFOLDS; REGULARITY; THEOREM;
D O I：
10.1090/S0002-9947-2015-06149-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a complete noncompact nonnegatively curved Alexandrov space A with a soul S of codimension two. We establish some structural results under additional regularity assumptions. As an application, we conclude that in this case Sharafutdinov retraction, pi : A -> S, is a submetry.
引用
收藏
页码：3901 / 3928
页数：28
相关论文
共 50 条
12345