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arXiv:2107.02309 [math.DG]AbstractReferencesReviewsResources

Linear connections and shape maps for second order ODEs\\ with and without constraints

G. E. Prince, M. Farré Puiggalí, D. J. Saunders, D. Martín de Diego

Published 2021-07-05Version 1

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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