8 citations · 12 across the 3 of their papers we have counts for
3 papers
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…
math.CV2007★ 8 cited
Sobolev spaces and mappings with bounded (P,Q)-distortion on Carnot groups
A. Ukhlov, S. K. Vodopyanov
We study mappings with bounded (p,q)-distortion associated to Sobolev spaces on Carnot groups. Mappings of such type have applications to the Sobolev type embedding theory and clas…
math.AP2005
On Value Distributions for Quasimeromorphic Mappings on -type Carnot Groups
Irina Markina, Sergey Vodopyanov
In the present paper we define quasimeromorphic mappings on homogeneous groups and study their properties. We prove an analogue of results of L. Ahlfors, R. Nevanlinna and S. Rickm…