Directional derivative of the weight of a minimal filling in Riemannian manifolds

被引：0
|
作者：
Stepanova E.I. [1 ]
机构：
[1] Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow
来源：
Moscow University Mathematics Bulletin | 2015年 / 70卷 / 1期
关键词：
Riemannian Manifold; Directional Derivative; Finite Subset; Connected Riemannian Manifold; Minimal Filling;
D O I：
10.3103/S0027132215010039
中图分类号：
学科分类号：
摘要：
It is proved that the weight of a minimal filling, the Steiner-Gromov ratio, and the Steiner sub-ratio considered as functions on finite subsets of a complete connected Riemannian manifold have directional derivatives with respect to any direction. © 2015, Allerton Press, Inc.
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页码：14 / 18
页数：4
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