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math.AP2019★ 11 cited
A rectifiability result for finite-perimeter sets in Carnot groups
Sebastiano Don, Enrico Le Donne, Terhi Moisala +1
In the setting of Carnot groups, we are concerned with the rectifiability problem for subsets that have finite sub-Riemannian perimeter. We introduce a new notion of rectifiability…
math.DG2019
A dynamical approach to the Sard problem in Carnot groups
Francesco Boarotto, Davide Vittone
We introduce a dynamical-systems approach for the study of the Sard problem in sub-Riemannian Carnot groups. We show that singular curves can be obtained by concatenating trajector…