Geometric structures associated with the Chern connection attached to a SODE

J. Muñoz-Masqué, E. Rosado María

To each second-order ordinary differential equation $\sigma$ on a smooth manifold $M$ a $G$-structure $P^{\sigma }$ on $J^1(\mathbb{R},M)$ is associated and the Chern connection ${\nabla }^{\sigma }$ att…