Singular cosphere bundle reduction

• Autores: Oana M. Dragulete, Tudor S. Ratiu , Miguel Rodríguez Olmos
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 9, 2007, págs. 4209-4235
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04229-8
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• Resumen

  • 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.