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Geometric characterization of linearisable second-order differential equations

Published online by Cambridge University Press:  24 October 2008

Eduardo Martínez  and
José F. Cariñena
Eduardo Martínez
Affiliation:
Departamento de Matemática Aplicada, Universidad de Zaragoza, E-50015 Zaragoza, Spain
José F. Cariñena
Affiliation:
Departamento de Física Teórica, Universidad de Zaragoza E-50009 Zaragoza, Spain
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Abstract

Given an Ehresmann connection on the tangent bundle τ: TM → M we define a linear connection on the pull-back bundle τ*(TM). With the aid of this tool, necessary and sufficient conditions are derived for the existence of local coordinates in which a system of second-order differential equations is linear.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 2 , February 1996 , pp. 373 - 381
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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