Properties of distance functions on convex surfaces and applications

被引：0
|
作者：
Jan Rataj
Luděk Zajíček
机构：
[1] Charles University,Faculty of Mathematics and Physics
来源：
Czechoslovak Mathematical Journal | 2011年 / 61卷
关键词：
distance function; convex surface; Alexandrov space; DC manifold; ambiguous locus; skeleton; -boundary; 53C45; 52A20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
If X is a convex surface in a Euclidean space, then the squared intrinsic distance function dist2(x, y) is DC (d.c., delta-convex) on X×X in the only natural extrinsic sense. An analogous result holds for the squared distance function dist2(x,F) from a closed set F ⊂ X. Applications concerning r-boundaries (distance spheres) and ambiguous loci (exoskeletons) of closed subsets of a convex surface are given.
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页码：247 / 269
页数：22
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