On the geometry of reduced cotangent bundles at zero momentum

JOURNAL OF GEOMETRY AND PHYSICS

卷:57

Article

Perlmutter, Matthew ; Rodriguez-Olmos, Miguel ; Sousa-Dias, M. Esmeralda

关键词: singular reduction;    momentum maps;    cotangent bundles;   

DOI  :  10.1016/j.geomphys.2006.05.003

来源: Elsevier

【 摘 要 】

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. (c) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

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