“A rectifiability result for sets of finite perimeter in Carnot groups”

Mercoledì 18 Dicembre 2019, ore 11:00 - Aula 430 - Sebastiano Don (University of Jyväskylä)

Abstract

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 filiform groups.

This is a joint work with Enrico Le Donne, Terhi Moisala and Davide Vittone.