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Geometric characterization of linearisable second-order differential equations
Published online by Cambridge University Press: 24 October 2008
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.
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- 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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