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Singular cosphere bundle reduction |
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| Authors: | Oana M Dragulete Tudor S Ratiu Miguel Rodrí guez-Olmos |
| Institution: | Section de mathématiques, EPFL, CH-1015 Lausanne, Switzerland and Department of Mathematics, University ``Politehnica' of Bucharest, Romania ; Section de mathématiques, EPFL, CH-1015 Lausanne, Switzerland ; Section de mathématiques, EPFL, CH-1015 Lausanne, Switzerland |
| 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. |
| Keywords: | Contact manifold cotangent cosphere bundle momentum map singular reduction |
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