We describe 4th order ODEs satisfying two contact invariant conditions of Bryant in terms of the Ricci tensor of a certain gl(2,R) valued connection. We also provide nonhomogeneous examples of such ODEs.
Cite
@article{arxiv.0710.1658,
title = {Comment on GL(2,R) geometry of 4th order ODEs},
author = {Pawel Nurowski},
journal= {arXiv preprint arXiv:0710.1658},
year = {2007}
}