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

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

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.

Singular solutions, homogeneous norms, and quasiconformal mappings in Carnot groups

2002 ◽  
Vol 324 (1) ◽  
pp. 159-186 ◽  
Author(s):  
Zoltán M. Balogh ◽  
Ilkka Holopainen ◽  
Jeremy T. Tyson
Keyword(s):  
Quasiconformal Mappings ◽  
Singular Solutions ◽  
Carnot Groups ◽  
Homogeneous Norms
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