Lie symmetries of geodesic equations and projective collineations

被引：19

作者：

Tsamparlis, Michael ^{[1
]}

Paliathanasis, Andronikos ^{[1
]}

机构：

[1] Univ Athens, Dept Phys, Sect Astron Astrophys Mech, Athens 15783, Greece

来源：

NONLINEAR DYNAMICS | 2010年 / 62卷 / 1-2期

关键词：

Geodesics; General relativity theory; Classical mechanics; Collineations; Riemannian space; Autoparallels; Lie symmetries; Projective collineations; DIFFERENTIAL-EQUATIONS; SPACES;

D O I：

10.1007/s11071-010-9710-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We prove a theorem which relates the Lie symmetries of the geodesic equations in a Riemannian space with the collineations of the metric. We apply the results to Einstein spaces and spaces of constant curvature. Finally with examples we show the use of the results.

引用

页码：203 / 214

页数：12

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