The polynomial sub-Riemannian differentiability of some Holder mappings of Carnot groups

被引：20

作者：

Karmanova, M. B. ^{[1
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2017年 / 58卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Carnot group; nilpotent graded group; Holder mapping; polynomial sub-Riemannian differential; intrinsic basis; QUASI-CONFORMAL MAPPINGS; HEISENBERG-GROUP; GRAPH SURFACES; VISUAL-CORTEX; SPACES; CONTACT;

D O I：

10.1134/S0037446617020069

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The polynomial sub-Riemannian differentiability is established for the large classes of Holder mappings in the sub-Riemannian sense, namely, the classes of smooth mappings, their graphs, and the graphs of Lipschitz mappings in the sub-Riemannian sense defined on nilpotent graded groups. We also describe some special bases that carry the sub-Riemannian structure of the preimage to the image.

引用

页码：232 / 254

页数：23

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