Hölder maps from Euclidean spaces to Carnot groups
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911116570918912 |
|---|---|
| author | Balogh, Zoltan Kozhevnikov, Artem Pansu, Pierre |
| author_facet | Balogh, Zoltan Kozhevnikov, Artem Pansu, Pierre |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16180 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hölder maps from Euclidean spaces to Carnot groups Balogh, Zoltan Kozhevnikov, Artem Pansu, Pierre Metric Geometry 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. |
| title | Hölder maps from Euclidean spaces to Carnot groups |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2508.16180 |