Vector fields dynamics as geodesic motion on Lie groups

被引：7
|
作者：
Pripoae, GT [1 ]
机构：
[1] Univ Bucharest, Fac Math & Informat, Bucharest, Romania
来源：
COMPTES RENDUS MATHEMATIQUE | 2006年 / 342卷 / 11期
关键词：
D O I：
10.1016/j.crma.2006.04.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study to what extent vector fields on Lie groups may be considered as geodesic fields. For a given left invariant vector field on a Lie group, we prove there exists a Riemannian metric whose geodesics are its trajectories. When we consider left invariant metrics, differences between the Riemannian and the Lorentzian cases appear, coded by properties of the Lie algebra.
引用
收藏
页码：865 / 868
页数：4
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