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Singular cosphere bundle reduction
Author(s):
Oana
M.
Dragulete;
Tudor
S.
Ratiu;
Miguel
Rodríguez-Olmos
Journal:
Trans. Amer. Math. Soc.
359
(2007),
4209-4235.
MSC (2000):
Primary 53D10, 53D20
Posted:
April 11, 2007
MathSciNet review:
2309182
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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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Additional Information:
Oana
M.
Dragulete
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
DOI:
10.1090/S0002-9947-07-04229-8
PII:
S 0002-9947(07)04229-8
Keywords:
Contact manifold,
cotangent,
cosphere bundle,
momentum map,
singular reduction.
Received by editor(s):
June 30, 2005
Posted:
April 11, 2007
Additional Notes:
The first and the second authors thank the Swiss National Science Foundation for partial support
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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