Linear connections and shape maps for second order ODEs with and without constraints
G. E. Prince,
M. Farré Puiggalí,
D. J. Saunders
et al.
Abstract:We deal with the construction of linear connections associated with second order ordinary differential equations with and without first order constraints. We use a novel method allowing glueing of submodule covariant derivatives to produce new, closed form expressions for the Massa-Pagani connection and our extension of it to the constrained case.
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