Sala Seminari (Dip. Matematica).<\/p>\n
After an introduction to the regularity problem for sets of finite perimeter in Carnot groups, we prove that the reduced boundary of a set of finite perimeter in a Carnot group can be covered by a countable union of sets satisfying a “cone property”. We show that this weak notion of rectifiability implies the intrinsic Lipschitz rectifiability in a class of Carnot groups including all the filiform groups. This is a joint work with Enrico Le Donne, Terhi Moisala and Davide Vittone<\/p>\n","protected":false},"excerpt":{"rendered":"
After an introduction to the regularity problem for sets of finite perimeter in Carnot groups, we prove that the reduced boundary of a set of finite perimeter in a Carnot group can be covered by a countable union of sets satisfying a “cone…<\/p>\n