The stratified spaces of a symplectic Lie group action

被引：7
|
作者：
Ortega, Juan-Pablo
Ratiu, Tudor S.
机构：
[1] Univ Franche Comte, CNRS, Dept Math Besancon, UFR Sci & Tech, F-25030 Besancon, France
[2] Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland
[3] Ecole Polytech Fed Lausanne, Ctr Bernoulli, CH-1015 Lausanne, Switzerland
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2006年 / 58卷 / 01期
关键词：
symplectic reduction; momentum maps; symplectic normal form; symplectic Lie group action; symplectic stratification theorem;
D O I：
10.1016/S0034-4877(06)80040-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we show that the classical symplectic stratification theorem of the reduced spaces of a canonical group action in a symplectic manifold can be obtained even in the absence of a momentum map by replacing this object by its natural generalization, the cylinder valued momentum map introduced by Condevaux, Dazord, and Molino. In the process of proving this result we will provide a normal form for the cylinder valued momentum map.
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页码：51 / 75
页数：25
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