On singular Finsler foliations of $(α,β)$-spaces
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914493251977216 |
|---|---|
| author | Alexandrino, Marcos M. Alves, Benigno O. Marcal, Patricia |
| author_facet | Alexandrino, Marcos M. Alves, Benigno O. Marcal, Patricia |
| contents | We investigate singular Finsler foliations (SFFs) on a manifold equipped with an $(α,β)$-metric. To be precise, we verify that any SFF of an $(α,β)$-space is, under some hypotheses on the metric, a singular Riemannian foliation (SRF). This gives a partial answer to the general question "under which conditions a SFF is a SRF with respect to some Riemannian metric". Moreover, we extend the proof of Molino's conjecture to SFFs whenever they are also a SRFs. Finally, we prove equifocality of the regular leaves for a SFF under the same condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18795 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On singular Finsler foliations of $(α,β)$-spaces Alexandrino, Marcos M. Alves, Benigno O. Marcal, Patricia Differential Geometry 53C12 We investigate singular Finsler foliations (SFFs) on a manifold equipped with an $(α,β)$-metric. To be precise, we verify that any SFF of an $(α,β)$-space is, under some hypotheses on the metric, a singular Riemannian foliation (SRF). This gives a partial answer to the general question "under which conditions a SFF is a SRF with respect to some Riemannian metric". Moreover, we extend the proof of Molino's conjecture to SFFs whenever they are also a SRFs. Finally, we prove equifocality of the regular leaves for a SFF under the same condition. |
| title | On singular Finsler foliations of $(α,β)$-spaces |
| topic | Differential Geometry 53C12 |
| url | https://arxiv.org/abs/2604.18795 |