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
收藏
页码：1080 / 1092
页数：13
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