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) |
|---|---|
| Pages (from-to) | 52-66 |
| Number of pages | 15 |
| Journal | Journal of Geometry and Physics |
| Volume | 49 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 2004 |
Keywords
- Contact
- Fiber bundle
- K-contact
- Minimal coupling
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology
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Cite this
Lerman, E. (2004). Contact fiber bundles. Journal of Geometry and Physics, 49(1), 52-66. https://doi.org/10.1016/S0393-0440(03)00060-3