On the sub-Riemannian geodesic flow for the Goursat distribution

被引：0

作者：

Agapov, S. V. ^{[1
,2
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

optimal control; sub-Riemannian geometry; Goursat distribution; geodesic flow;

D O I：

10.1134/S0037446616010018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under consideration is the sub-Riemannian geodesic flow for the Goursat distribution. We find the level surfaces of the first integrals that are in involution and study the trajectories in the phase space whose projections to the horizontal plane are closed curves.

引用

页码：1 / 6

页数：6

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