Carnot-carathéodory homogeneous cone condition and carnot-carathéodory balls in heisenberg groups

被引：0
作者：
Belykh A.V. [1 ]
Greshnov A.V. [1 ,2 ]
机构：
[1] Novosibirsk State University, 2, ul. Pirogova, Novosibirsk
[2] Sobolev Institute of Mathematics SB RAS, 4, pr. Akad, Koptyuga
来源：
Journal of Mathematical Sciences | 2013年 / 195卷 / 6期
基金：
俄罗斯基础研究基金会;
关键词：
Short Path; Heisenberg Group; Parametrized Curve; Cone Condition; Carnot Group;
D O I：
10.1007/s10958-013-1617-x
中图分类号：
学科分类号：
摘要：
We study properties of extremals of the variational problem about the shortest paths in the Carnot-Carathéodory metric on Heisenberg groups. We prove that the Carnot-Carathéodory balls in Heisenberg groups satisfy the Carnot-Carathéodory homogeneous cone condition. Bibliography: 17 titles. © 2013 Springer Science+Business Media New York.
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页码：779 / 790
页数：11
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