Cohomology of Quaternionic Foliations and Orbifolds
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918246846824448 |
|---|---|
| author | Mohseni, Rouzbeh Wolak, Robert A. |
| author_facet | Mohseni, Rouzbeh Wolak, Robert A. |
| contents | Starting with a concise review of quaternionic geometry and quaternionic K{ä}hler manifolds, we define a transversely quaternionic K{ä}hler foliation. Then we formulate and prove the foliated versions of the now classical results of V.Y. Kraines and A. Fujiki on the cohomology of quaternionic K{ä}hler manifolds. Finally, as any orbifold can be realized as the leaf space of a suitably defined Riemannian foliation we reformulate our results for quaternionic orbifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_02733 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Cohomology of Quaternionic Foliations and Orbifolds Mohseni, Rouzbeh Wolak, Robert A. Differential Geometry 53C12, 53C28, 57R30 Starting with a concise review of quaternionic geometry and quaternionic K{ä}hler manifolds, we define a transversely quaternionic K{ä}hler foliation. Then we formulate and prove the foliated versions of the now classical results of V.Y. Kraines and A. Fujiki on the cohomology of quaternionic K{ä}hler manifolds. Finally, as any orbifold can be realized as the leaf space of a suitably defined Riemannian foliation we reformulate our results for quaternionic orbifolds. |
| title | Cohomology of Quaternionic Foliations and Orbifolds |
| topic | Differential Geometry 53C12, 53C28, 57R30 |
| url | https://arxiv.org/abs/2202.02733 |