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Displaying similar documents to “Multivector fields and connections. Applications to field theories.”

Linearisation of second-order differential equations.

Eduardo Martínez (1996)

Extracta Mathematicae

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Given a second order differential equation on a manifold we find necessary and sufficient conditions for the existence of a coordinate system in which the system is linear. The main tool to be used is a linear connection defined by the system of differential equations.