Linear connections and shape maps for second order ODEs with and without constraints
Differential Geometry
2021-10-27 v2
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.
Cite
@article{arxiv.2107.02309,
title = {Linear connections and shape maps for second order ODEs with and without constraints},
author = {G. E. Prince and M. Farré Puiggalí and D. J. Saunders and D. Martín de Diego},
journal= {arXiv preprint arXiv:2107.02309},
year = {2021}
}