Contact fiber bundles

By Eugene Lerman. 2003

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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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f267cd946dc8ca86b9bea311242a30573cf46d75