Calculus of Variations and Geometric Measure Theory

A rectifiability result for sets of finite perimeter in Carnot groups

Sebastiano Don

created by gelli on 10 Oct 2019

16 oct 2019 -- 17:00   [open in google calendar]

Sala Seminari Dipartimento di 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