Graph surfaces over three-dimensional Carnot-Carath,odory spaces

被引:4
作者
Karmanova, M. B. [1 ]
机构
[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk 630090, Russia
基金
俄罗斯基础研究基金会;
关键词
CARNOT GROUPS;
D O I
10.1134/S1064562415040122
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The polynomial sub-Riemannian differentiability of the graph mappings of functions defined on three-dimensional Carnot-Carath,odory spaces is proved and an area formula for graph surfaces is derived.
引用
收藏
页码:439 / 442
页数:4
相关论文
共 15 条
[1]  
Basalaev SG, 2013, EURASIAN MATH J, V4, P10
[2]  
Basalaev S. G., 2013, SIBERIAN ADV MATH, V23, P155
[3]  
Basalaev S. G., 2015, J MATH SCI, V205, P335
[4]  
Bigolin F., 2008, THESIS U STUDI TRENT
[5]  
Citti G., 2004, LECT NOTES SEMINARIO, V3, P145
[6]  
Franchi B, 2003, COMMUN ANAL GEOM, V11, P909
[7]  
Gromov Mikhael, 1996, Progr. Math., V144, P79
[8]   Minimal Surfaces in the Roto-Translation Group with Applications to a Neuro-Biological Image Completion Model [J].
Hladky, Robert K. ;
Pauls, Scott D. .
JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2010, 36 (01) :1-27
[9]   The graphs of Lipschitz functions and minimal surfaces on Carnot groups [J].
Karmanova, M. B. .
SIBERIAN MATHEMATICAL JOURNAL, 2012, 53 (04) :672-690
[10]   Geometry of Carnot-Caratheodory Spaces, Differentiability, Coarea and Area Formulas [J].
Karmanova, Maria ;
Vodop'yanov, Sergey .
ANALYSIS AND MATHEMATICAL PHYSICS-BOOK, 2009, :233-335