arXiv subjects

Jose Miguel Veloso

Publications and source records attributed to Jose Miguel Veloso.

2 recordsLinked to original sources

arXiv2023

A global invariant for path structures and second order differential equations

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 $T^2$.

math.DG↗

arXiv2023

Cartan connections and path structures with large automorphisms groups

We classify compact manifolds of dimension three equipped with a path structure and a fixed contact form (which we refer to as a strict path structure) under the hypothesis that their automorphism group is non-compact. We use a Cartan connection associated to the structure and show that its curvature is constant.

math.DG↗