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.References
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Additional Information
- Oana M. Drăgulete
- Affiliation: Section de mathématiques, EPFL, CH-1015 Lausanne, Switzerland and Department of Mathematics, University “Politehnica” of Bucharest, Romania
- Email: oana.dragulete@epfl.ch
- Tudor S. Ratiu
- Affiliation: Section de mathématiques, EPFL, CH-1015 Lausanne, Switzerland
- Email: tudor.ratiu@epfl.ch
- Miguel Rodríguez-Olmos
- Affiliation: Section de mathématiques, EPFL, CH-1015 Lausanne, Switzerland
- Email: miguel.rodriguez@epfl.ch
- Received by editor(s): June 30, 2005
- Published electronically: April 11, 2007
- Additional Notes: The first and the second authors thank the Swiss National Science Foundation for partial support
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 4209-4235
- MSC (2000): Primary 53D10, 53D20
- DOI: https://doi.org/10.1090/S0002-9947-07-04229-8
- MathSciNet review: 2309182