Singular cosphere bundle reduction

Oana M. Drăgulete, Tudor S. Ratiu, Miguel Rodríguez-Olmos
2007 Transactions of the American Mathematical Society  
This paper studies singular contact reduction for cosphere bundles at the zero value of the momentum map. A stratification of the singular quotient, finer than the contact one and better adapted to the bundle structure of the problem, is obtained. The strata of this new stratification are a collection of cosphere bundles and coisotropic or Legendrian submanifolds of their corresponding contact components.
doi:10.1090/s0002-9947-07-04229-8 fatcat:c2qav6jkgvatflhpagker45bjq