In the class of stratified groups endowed with a left invariant Carnot-Carathéodory distance, we give an algebraic characterization of purely unrectifiable groups and we study rigidity properties. The main feature of our approach is the use of a suitable area formula with respect to the Carnot-Carathéodory distance.
Unrectifiability and rigidity in stratified groups
MAGNANI, VALENTINO
2004-01-01
Abstract
In the class of stratified groups endowed with a left invariant Carnot-Carathéodory distance, we give an algebraic characterization of purely unrectifiable groups and we study rigidity properties. The main feature of our approach is the use of a suitable area formula with respect to the Carnot-Carathéodory distance.File in questo prodotto:
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