Calculus of Variations and Geometric Measure Theory

V. Magnani

Unrectifiability and rigidity in stratified groups

created on 24 Apr 2004
modified by magnani on 21 Jun 2005


Published Paper

Inserted: 24 apr 2004
Last Updated: 21 jun 2005

Journal: Arch. Math.
Volume: 83
Number: 6
Pages: 568-576
Year: 2004


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