A Note about Integrable Systems on Low-dimensional Lie Groups and Lie Algebras

被引：0
|
作者：
Alexey Bolsinov
Jinrong Bao
机构：
[1] Loughborough University,School of Mathematics
[2] Moscow State University,Faculty of Mechanics and Mathematics
来源：
Regular and Chaotic Dynamics | 2019年 / 24卷
关键词：
Integrable systems; Lie groups; geodesic flow; left-invariant metric; sub-Riemannian structure; 37J35; 53B50; 70H06; 70S10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The goal of the paper is to explain why any left-invariant Hamiltonian system on (the cotangent bundle of) a 3-dimensonal Lie group G is Liouville integrable. We derive this property from the fact that the coadjoint orbits of G are two-dimensional so that the integrability of left-invariant systems is a common property of all such groups regardless their dimension.
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页码：266 / 280
页数：14
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