On foliations admitting a transverse similarity structure
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909655111827456 |
|---|---|
| author | Flamencourt, Brice Zeghib, Abdelghani |
| author_facet | Flamencourt, Brice Zeghib, Abdelghani |
| contents | We give a "conceptual" approach to Kourganoff's results about foliations with a transverse similarity structure. In particular, we give a proof, understandable by the targeted community, of the very important result classifying the holonomy of the closed, non-exact Weyl structures on compact manifolds, from which arose the notion of locally conformally product structures. We also extract from the proof several results on foliations admitting locally metric transverse connections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04814 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On foliations admitting a transverse similarity structure Flamencourt, Brice Zeghib, Abdelghani Differential Geometry We give a "conceptual" approach to Kourganoff's results about foliations with a transverse similarity structure. In particular, we give a proof, understandable by the targeted community, of the very important result classifying the holonomy of the closed, non-exact Weyl structures on compact manifolds, from which arose the notion of locally conformally product structures. We also extract from the proof several results on foliations admitting locally metric transverse connections. |
| title | On foliations admitting a transverse similarity structure |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2501.04814 |