1. On the geometry of reduced cotangent bundles at zero momentum
- Author
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Perlmutter, Matthew, Rodríguez-Olmos, Miguel, and Sousa-Dias, M. Esmeralda
- Subjects
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MOMENTUM (Mechanics) , *GEOMETRY , *INERTIA (Mechanics) , *MATHEMATICS - Abstract
Abstract: We consider the problem of cotangent bundle reduction for proper non-free group actions at zero momentum. We show that in this context the symplectic stratification obtained by Sjamaar and Lerman refines in two ways: (i) each symplectic stratum admits a stratification which we call the secondary stratification with two distinct types of pieces, one of which is open and dense and symplectomorphic to a cotangent bundle; (ii) the reduced space at zero momentum admits a finer stratification than the symplectic one into pieces that are coisotropic in their respective symplectic strata. [Copyright &y& Elsevier]
- Published
- 2007
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