Inserted: 24 apr 2004
Last Updated: 21 jun 2005
Journal: Arch. Math.
In the class of stratified groups endowed with a left invariant Carnot-Carathéo\-dory 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.
Keywords: Rectifiability, stratified groups, rigidity