26 citations · 47 across the 8 of their papers we have counts for
4 papers · 1 filter
Approximate Differentiability of Mappings of Carnot-Carathéodory Spaces
Sergey Basalaev, Sergey Vodopyanov
We study the approximate differentiability of measurable mappings of Carnot--Carathéodory spaces. We show that the approximate differentiability almost everywhere is equivalent to…
Sharp geometric rigidity of isometries on Heisenberg groups
D. V. Isangulova, S. K. Vodopyanov
We prove sharp geometric rigidity estimates for isometries on Heisenberg groups. Our main result asserts that every -quasi-isometry on a John domain of the Heisenb…
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…
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…