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Singular cosphere bundle reduction
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