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math.MG2026
A minimal regularity for the area formula in the Engel group
Francesca Corni, Fares Essebei, Valentino Magnani
We prove that the upper blow-up theorem in the Engel group holds for submanifolds. Combining this result with the known negligibility of the singular set, we obtain an integr…
math.MG2023
Variational problems concerning length distances in metric spaces
Fares Essebei, Enrico Pasqualetto
Given a locally compact, complete metric space and an open set , we study the class of length distances on that are bounded from…