Isoparametric foliations and bounded geometry
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915882083549184 |
|---|---|
| author | Krannich, Manuel Lytchak, Alexander Radeschi, Marco |
| author_facet | Krannich, Manuel Lytchak, Alexander Radeschi, Marco |
| contents | We prove that there are only finitely many isoparametrically foliated closed connected Riemannian manifolds with bounded geometry, fixed dimension $n\neq5$, and finite fundamental group, up to foliated diffeomorphism. In addition, we construct various infinite families of isoparametric foliations that are mutually not foliated diffeomorphic, for instance on a fixed sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20191 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isoparametric foliations and bounded geometry Krannich, Manuel Lytchak, Alexander Radeschi, Marco Differential Geometry Geometric Topology Metric Geometry 53C12, 53C20, 53C23, 57R30, 57R52 We prove that there are only finitely many isoparametrically foliated closed connected Riemannian manifolds with bounded geometry, fixed dimension $n\neq5$, and finite fundamental group, up to foliated diffeomorphism. In addition, we construct various infinite families of isoparametric foliations that are mutually not foliated diffeomorphic, for instance on a fixed sphere. |
| title | Isoparametric foliations and bounded geometry |
| topic | Differential Geometry Geometric Topology Metric Geometry 53C12, 53C20, 53C23, 57R30, 57R52 |
| url | https://arxiv.org/abs/2502.20191 |