Hölder maps from Euclidean spaces to Carnot groups

Abstract

We give alternative proofs of (unsharp) results of Gromov's on his H\''older equivalence problem: for which $\alpha$ does there exist a $C^{\alpha }$-homeomorphism of an open set of Euclidean space to an open set of a given Carnot group? We indicate a possible route to sharp bounds.

Texte post{é} sur une page depuis 2017 : https://www.imo.universite-paris-saclay.fr/~pierre.pansu/RnCarnot.pdf