Inserted: 8 mar 2006
In Italian. Advisor: L. Ambrosio
We study the problem of regularity of geodesics in a large class of Carnot-Carathéodory spaces, namely the Carnot groups. More precisely, we give conditions on the group ensuring regularity of the geodesics outside a closed negligeable set .
Keywords: Carnot groups, calculus of variations, Geodesics