H\"older maps from Euclidean spaces to Carnot groups
Metric Geometry
2025-08-25 v1
Abstract
We give alternative proofs of (unsharp) results of Gromov's on his H\''older equivalence problem: for which does there exist a -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.
Cite
@article{arxiv.2508.16180,
title = {H\"older maps from Euclidean spaces to Carnot groups},
author = {Zoltan Balogh and Artem Kozhevnikov and Pierre Pansu},
journal= {arXiv preprint arXiv:2508.16180},
year = {2025}
}
Comments
Texte post{\'e} sur une page depuis 2017 : https://www.imo.universite-paris-saclay.fr/~pierre.pansu/RnCarnot.pdf