Abstract
We define contact fiber bundles and investigate conditions for the existence of contact structures on the total space of such a bundle. The results are analogous to minimal coupling in symplectic geometry. The two applications are construction of K-contact manifolds generalizing Yamazaki's fiber join construction and a cross-section theorem for contact moment maps.
Original language | English (US) |
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Pages (from-to) | 52-66 |
Number of pages | 15 |
Journal | Journal of Geometry and Physics |
Volume | 49 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2004 |
Keywords
- Contact
- Fiber bundle
- K-contact
- Minimal coupling
ASJC Scopus subject areas
- Mathematical Physics
- General Physics and Astronomy
- Geometry and Topology