- 94-397 E. Mart'inez, J. F. Cari~nena
- Geometric characterization of linearisable second order
differential equations.
(31K, LaTeX)
Dec 17, 94
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Abstract. Given an Ehresmann connection on the tangent bundle $\map{\tau}{TM}{M}$
we define a linear connection on the pull--back bundle $\tau^*(TM)$.
With the aid of this tool, necessary and sufficient conditions for the
existence of local coordinates in which a system of second--order
differential equations is linear are derived.
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