Superintegrability of left-invariant sub-Riemannian structures on unimodular three-dimensional Lie groups

被引：0
|
作者：
A. P. Mashtakov
Yu. L. Sachkov
机构：
[1] Eindhoven University of Technology,
[2] University of Hradec Králové,undefined
来源：
Differential Equations | 2015年 / 51卷
关键词：
Hamiltonian System; Hamiltonian Vector; Pontryagin Maximum Principle; Casimir Function; Liouville Integrability;
D O I：
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学科分类号：
摘要：
We consider left-invariant sub-Riemannian problems on three-dimensional unimodular Lie groups. We show that the Hamiltonian system of the Pontryagin maximum principle for such problems is Liouville integrable and even superintegrable (i.e., has four independent integrals, three of which are in involution).
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页码：1476 / 1483
页数：7
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