Singular cosphere bundle reduction

Drăgulete, Oana; Ratiu, Tudor; Rodríguez-Olmos, Miguel

doi:10.1090/S0002-9947-07-04229-8

Singular cosphere bundle reduction
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by Oana M. Drăgulete, Tudor S. Ratiu and Miguel Rodríguez-Olmos PDF

Trans. Amer. Math. Soc. 359 (2007), 4209-4235 Request permission

Abstract:

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.

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