Integrability of left-invariant sub-Riemannian structures on the special linear group SL2(R)

被引：0

作者：

A. P. Mashtakov

Yu. L. Sachkov

机构：

[1] Russian Academy of Sciences,Program Systems Institute

来源：

Differential Equations | 2014年 / 50卷

关键词：

Cotangent Bundle; Carnot Group; Pontryagin Maximum Principle; Liouville Integrability; Mathematical Pendulum;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that the Hamiltonian system of ordinary differential equations of the Pontryagin maximum principle for left-invariant sub-Riemannian structures of elliptic type on the Lie group SL2(ℝ) is Liouville integrable.

引用

页码：1541 / 1547

页数：6

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