Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure

被引：7

作者：

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

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2015年 / 56卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

three-dimensional Lie group; graph surface; polynomial sub-Riemannian differentiability; area formula; CARNOT-CARATHEODORY SPACES; VECTOR-FIELDS; DIFFERENTIABILITY; GEOMETRY;

D O I：

10.1134/S0037446615060129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study some class of graph mappings on certain three-dimensional Lie groups, derive special differential properties of these mappings, and prove the area formula for graph surfaces.

引用

页码：1080 / 1092

页数：13

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