English

Cosphere bundle reduction in contact geometry

Symplectic Geometry 2007-05-23 v1 Differential Geometry

Abstract

We extend the theorems concerning the equivariant symplectic reduction of the cotangent bundle to contact geometry. The role of the cotangent bundle is taken by the cosphere bundle. We use Albert's method for reduction at zero and Willett's method for non-zero reduction. We provide examples for both cases.

Keywords

Cite

@article{arxiv.math/0204203,
  title  = {Cosphere bundle reduction in contact geometry},
  author = {Oana Dragulete and Liviu Ornea and T. S. Ratiu},
  journal= {arXiv preprint arXiv:math/0204203},
  year   = {2007}
}