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math.MG2022★ 1 cited
On the converse of Pansu's Theorem
Guido De Philippis, Andrea Marchese, Andrea Merlo +2
We provide a suitable generalisation of Pansu's differentiability theorem to general Radon measures on Carnot groups and we show that if Lipschitz maps between Carnot groups are Pa…
math.MG2016★ 1 cited
On a conjecture of Cheeger
Guido De Philippis, Andrea Marchese, Filip Rindler
This note details how a recent structure theorem for normal -currents proved by the first and third author allows to prove a conjecture of Cheeger concerning the structure of Li…