A global invariant for path structures and second order differential equations
Differential Geometry
2023-07-03 v1
Abstract
We study a global invariant for path structures. The invariant is obtained as a secondary invariant from a Cartan connection on a canonical bundle associated to a path structure. It is computed in examples which are defined in terms of reductions of the path structure. In particular we give a formula for this global invariant for second order differential equations defined on a torus .
Cite
@article{arxiv.2306.17705,
title = {A global invariant for path structures and second order differential equations},
author = {Elisha Falbel and Jose Miguel Veloso},
journal= {arXiv preprint arXiv:2306.17705},
year = {2023}
}