Polynomial Sub-Riemannian Differentiability on Carnot–Carathéodory Spaces

Сибирский математический журнал

M. B. Karmanova¹ 

[1] Sobolev Institute of Mathematics

关键词: Carnot–Carathéodory space;    Hölder mapping;    polynomial sub-Riemannian differentiability;    intrinsic basis;   

DOI  :  10.1134/S0037446618050105

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

We show that the classes of Hölder mappings of Carnot–Carathéodory spaces are polynomially differentiable in the sub-Riemannian sense. Moreover, we prove the existence of intrinsic (or adapted) bases, which enable us to match the nonholonomic structures of the images of mappings and target spaces.

【 授权许可】

CC BY