GENERALIZED SUBMERSIVENESS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS

被引：5

作者：

Sarlet, W. ^{[1
]}

Prince, G. E. ^{[2
]}

Crampin, M. ^{[1
]}

机构：

[1] Univ Ghent, Dept Math Phys & Astron, B-9000 Ghent, Belgium

[2] La Trobe Univ, Dept Math & Stat, Melbourne, Vic 3086, Australia

来源：

JOURNAL OF GEOMETRIC MECHANICS | 2009年 / 1卷 / 02期

关键词：

Second-order differential equations; tangent bundle geometry; integrable distributions; decoupling; GEOMETRIC CHARACTERIZATION; INVERSE PROBLEM; CALCULUS;

D O I：

10.3934/jgm.2009.1.209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize the notion of submersive second-order differential equations by relaxing the condition that the decoupling stems from the tangent lift of a basic distribution. It is shown that this leads to adapted coordinates in which a number of first-order equations decouple from the remaining second-order ones.

引用

页码：209 / 221

页数：13

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