典型文献
Quasi-convex subsets in Alexandrov spaces with lower curvature bound
文献摘要：
We introduce quasi-convex subsets in Alexandrov spaces with lower curvature bound,which include not only all closed convex subsets without boundary but also all extremal subsets.Moreover,we explore several essential properties of such kind of subsets including a generalized Liberman theorem.It turns out that the quasi-convex subset is a nice and fundamental concept to illustrate the similarities and differences between Riemannian manifolds and Alexandrov spaces with lower curvature bound.
文献关键词：
中图分类号：
作者姓名：
Xiaole SU;Hongwei SUN;Yusheng WANG
作者机构：
School of Mathematical Sciences(and Key Laboratory Mathematics and Complex Systems,Ministry of Education,China),Beijing Normal University,Beijing 100875,China;School of Mathematics Sciences,Capital Normal University,Beijing 100037,China
文献出处：
引用格式：
[1]Xiaole SU;Hongwei SUN;Yusheng WANG-.Quasi-convex subsets in Alexandrov spaces with lower curvature bound)[J].中国数学前沿,2022(06):1063-1082
A类：
Liberman
B类：
Quasi,convex,subsets,Alexandrov,spaces,lower,curvature,We,introduce,quasi,which,include,not,only,all,closed,without,boundary,but,also,extremal,Moreover,explore,several,essential,properties,such,kind,including,generalized,theorem,It,turns,that,is,nice,fundamental,concept,illustrate,similarities,differences,between,Riemannian,manifolds
AB值：
0.566799
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