A Boothby-Wang construction in generalized contact geometry
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914352038150144 |
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| author | Pal, Debjit |
| author_facet | Pal, Debjit |
| contents | We establish a generalized analogue of the Boothby-Wang theorem in generalized contact geometry, along with related results. We present a general method for constructing examples of generalized contact structures that are not of Poon-Wade type, and even examples that fail to be generalized contact structures. Using Courant reduction methods, we construct a generalized complex structure on a smooth leaf space and equip the generalized contact manifold with a principal bundle structure whose connection is defined by the generalized contact data. Under mild assumptions, we show that the curvature induces a symplectic foliation on the leaf space. Several examples are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_22385 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Boothby-Wang construction in generalized contact geometry Pal, Debjit Differential Geometry Symplectic Geometry Primary: 53D18, 53D35, 57R22, 57R30. Secondary: 53D15, 37C10, 37C86 We establish a generalized analogue of the Boothby-Wang theorem in generalized contact geometry, along with related results. We present a general method for constructing examples of generalized contact structures that are not of Poon-Wade type, and even examples that fail to be generalized contact structures. Using Courant reduction methods, we construct a generalized complex structure on a smooth leaf space and equip the generalized contact manifold with a principal bundle structure whose connection is defined by the generalized contact data. Under mild assumptions, we show that the curvature induces a symplectic foliation on the leaf space. Several examples are provided. |
| title | A Boothby-Wang construction in generalized contact geometry |
| topic | Differential Geometry Symplectic Geometry Primary: 53D18, 53D35, 57R22, 57R30. Secondary: 53D15, 37C10, 37C86 |
| url | https://arxiv.org/abs/2602.22385 |