4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.MG2011★ 2 cited
The Area Formula for Lipschitz Mappings of Carnot--Carathéodory Spaces
Maria Karmanova
We prove the sub-Riemannian analog of the area formula for Lipschitz (in sub-Riemannian sense) mappings of equiregular Carnot--Carathéodory spaces.
math.MG2011
A Coarea Formula for Smooth Contact Mappings of Carnot--Carathéodory Spaces
M. Karmanova, S. Vodopyanov
We prove the coarea formula for sufficiently smooth contact mappings of Carnot manifolds. In particular, we investigate level surfaces of these mappings, and compare Riemannian and…
math.MG2008★ 4 cited
Geometry of Carnot--Carathéodory Spaces, Differentiability and Coarea Formula
Maria Karmanova, Sergey Vodopyanov
We give a simple proof of Gromov's Theorem on nilpotentization of vector fields, and exhibit a new method for obtaining quantitative estimates of comparing geometries of two differ…