RIGIDITY OF INFINITESIMAL MOMENTUM MAPS

被引：1
|
作者：
Esposito, Chiara [1 ]
Miranda, Eva [2 ,3 ]
机构：
[1] Julius Maximilian Univ Wurzburg, Dept Math, Emil Fischer Str 31, D-97074 Wurzburg, Germany
[2] Univ Politecn Cataluna, Dept Math, Avinguda Doctor Maranon 44-50, E-08028 Barcelona, Spain
[3] EPSEB, BGSMath, Avinguda Doctor Maranon 44-50, Barcelona, Spain
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2017年 / 219卷 / 02期
关键词：
DIFFERENTIAL FORMS; POISSON;
D O I：
10.1007/s11856-017-1497-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove rigidity theorems for Poisson Lie group actions on Poisson manifolds. In particular, we prove that close infinitesimal momentum maps associated to Poisson Lie group actions are equivalent using a normal form theorem for SCI spaces. When the Poisson structure of the acted manifold is integrable, this yields rigidity also for lifted actions to the symplectic groupoid.
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页码：757 / 781
页数：25
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