The Local Approximation Theorem in Various Coordinate Systems

Сибирский математический журнал

S. G. Basalaev¹ 

[1] Novosibirsk State University

关键词: Carnot–Carathéodory space;    local nilpotent approximation;   

DOI  :  10.1134/S003744661805004X

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

We find some sufficient conditions on the local coordinate system of a Carnot–Carathéodory space of low smoothness that ensure Gromov-type estimates on the divergence of local (quasi)metrics. We also obtain these estimates for the canonical coordinate system of the second kind and various mixed coordinate systems.

【 授权许可】

CC BY