Geodesic
An area formula for Lipschitz mappings of Carnot--Carath\'eodory spaces
Izvestiya. Mathematics , Tome 78 (2014) no. 3, pp. 475-499

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove a sub-Riemannian analogue of the area formula for Lipschitz mappings (in the sub-Riemannian sense) between equiregular Carnot–Carathéodory spaces. In particular, we give an adequate analytic definition of the sub-Riemannian Jacobian.
Keywords: Carnot–Carathéodory space, differentiability, Lipschitz mapping, sub-Riemannian quasi-metric, area formula. 
@article{IM2_2014_78_3_a3,
     author = {M. B. Karmanova},
     title = {An area formula for {Lipschitz} mappings of {Carnot--Carath\'eodory} spaces},
     journal = {Izvestiya. Mathematics },
     pages = {475--499},
     publisher = {mathdoc},
     volume = {78},
     number = {3},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2014_78_3_a3/}
}
TY  - JOUR
AU  - M. B. Karmanova
TI  - An area formula for Lipschitz mappings of Carnot--Carath\'eodory spaces
JO  - Izvestiya. Mathematics 
PY  - 2014
SP  - 475
EP  - 499
VL  - 78
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2014_78_3_a3/
LA  - en
ID  - IM2_2014_78_3_a3
ER  - 
%0 Journal Article
%A M. B. Karmanova
%T An area formula for Lipschitz mappings of Carnot--Carath\'eodory spaces
%J Izvestiya. Mathematics 
%D 2014
%P 475-499
%V 78
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2014_78_3_a3/
%G en
%F IM2_2014_78_3_a3
M. B. Karmanova. An area formula for Lipschitz mappings of Carnot--Carath\'eodory spaces. Izvestiya. Mathematics , Tome 78 (2014) no. 3, pp. 475-499. http://geodesic.mathdoc.fr/item/IM2_2014_78_3_a3/