Contact fiber bundles
arXiv:math/0301137 · doi:10.1016/S0393-0440(03)00060-3
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
10 pages
Cited by in corpus (11)
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- Some remarks on the size of tubular neighborhoods in contact topology and fillability
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- Examples of compact K-contact manifolds with no Sasakian metric
- Reductions: precontact versus presymplectic
- Simply-connected K-contact and Sasakian manifolds of dimension 7
- On simply connected K-contact non-Sasakian manifolds
- On some examples and constructions of contact manifolds
- On symplectically fat twistor bundles
- 5-dimensional contact SO(3)-manifolds and Dehn twists
- Some topics in Sasakian geometry, a survey