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

共 32 条

[21] Classification of left-invariant Einstein metrics on SL(2, R) x SL(2, R) that are bi-invariant under a one-parameter subgroup
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[30] Classification of left-invariant Einstein metrics on SL(2,R)×SL(2,R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{SL}(2,\mathbb {R})\times \textrm{SL}(2,\mathbb {R})$$\end{document} that are bi-invariant under a one-parameter subgroup
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