Foundations of singular Finsler geometry

被引：2
|
作者：
Andreev P. [1 ]
机构：
[1] Northern (Arctic) Federal University named after M.V. Lomonosov, Severnaya Dvina Emb., 17, Arkhangelsk
来源：
European Journal of Mathematics | 2017年 / 3卷 / 4期
基金：
俄罗斯基础研究基金会;
关键词：
Curve with velocity; Directed segment; Singular Finsler space; Space of directions; Tangent cone;
D O I：
10.1007/s40879-017-0169-x
中图分类号：
学科分类号：
摘要：
We present an approach leading to Finsler geometry without differential calculus of tensors. Several natural examples of such singular Finsler spaces are studied. One class of such examples contains Busemann G-spaces with non-positive curvature. Starting with a singular version of the axiomatics, some simplest properties known in the smooth Finsler geometry are interpreted. © 2017, Springer International Publishing AG.
引用
收藏
页码：767 / 787
页数：20
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