SYMMETRIES OF HAMILTONIAN DYNAMICAL SYSTEMS, MOMENTUM MAPS AND REDUCTIONS

被引：6
|
作者：
Marle, Charles-Michel [1 ]
机构：
[1] Univ Paris 06, Inst Math Jussieu, Paris, France
来源：
PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION | 2014年
关键词：
CONVEXITY PROPERTIES; LIE; EQUATIONS;
D O I：
10.7546/giq-15-2014-11-52
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This text presents some basic notions in symplectic geometry, Poisson geometry, Hamiltonian systems, Lie algebras and Lie groups actions on symplectic or Poisson manifolds, momentum maps and their use for the reduction of Hamiltonian systems. It should be accessible to readers with a general knowledge of basic notions in differential geometry. Full proofs of many results are provided.
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页码：11 / 52
页数：42
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