A rectifiability result for sets of finite perimeter in Carnot groups – Sebastiano Don (Universita’ di Padova)


Sala Seminari (Dip. Matematica).


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

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