English

Contact fiber bundles

Differential Geometry 2009-11-10 v1 Symplectic Geometry

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

Keywords

Cite

@article{arxiv.math/0301137,
  title  = {Contact fiber bundles},
  author = {Eugene Lerman},
  journal= {arXiv preprint arXiv:math/0301137},
  year   = {2009}
}

Comments

10 pages