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arXiv · 2508.16180

Hölder maps from Euclidean spaces to Carnot groups

Zoltan Balogh·Artem Kozhevnikov·Pierre Pansu
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Abstract

We give alternative proofs of (unsharp) results of Gromov's on his H\''older equivalence problem: for which $α$ does there exist a $C^α$-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.

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Zoltan Balogh, Artem Kozhevnikov, Pierre Pansu. 2025-08-22. Hölder maps from Euclidean spaces to Carnot groups. https://arxiv.org/abs/2508.16180

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