Sobolev spaces and (P,Q)-quasiconformal mappings of carnot groups

1998 ◽  
Vol 39 (4) ◽  
pp. 665-682 ◽  
Author(s):  
S. K. Vodop'yanov ◽  
A. D. Ukhlov
Keyword(s):  
Sobolev Spaces ◽  
Quasiconformal Mappings ◽  
Carnot Groups

Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings

2014 ◽  
Vol 55 (5) ◽  
pp. 817-848 ◽  
Author(s):  
S. K. Vodop’yanov ◽  
N. A. Evseev
Keyword(s):  
Sobolev Spaces ◽  
Carnot Groups

Isomorphisms of sobolev spaces on carnot groups and metric properties of mappings

2015 ◽  
Vol 92 (2) ◽  
pp. 532-536 ◽  
Author(s):  
S. K. Vodop’yanov ◽  
N. A. Evseev
Keyword(s):  
Sobolev Spaces ◽  
Carnot Groups ◽  
Metric Properties

Analytic properties of quasiconformal mappings on Carnot groups

1995 ◽  
Vol 36 (6) ◽  
pp. 1142-1151 ◽  
Author(s):  
S. K. Vodop'yanov ◽  
A. V. Greshnov
Keyword(s):  
Quasiconformal Mappings ◽  
Carnot Groups

scholarly journals Contact and quasiconformal mappings on real model filiform groups

2003 ◽  
Vol 68 (2) ◽  
pp. 329-343 ◽  
Author(s):  
Ben Warhurst
Keyword(s):  
Lie Algebras ◽  
Quasiconformal Mappings ◽  
Carnot Groups ◽  
Real Model ◽  
Smooth Contact ◽  
Filiform Lie Algebras

We prove that Carnot groups with real model filiform Lie algebras are not rigid. Consequently non-trivial smooth contact and quasiconformal mappings exist in abundance.

Sign in / Sign up

Export Citation Format

Share Document