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arXiv · 2306.17705

A global invariant for path structures and second order differential equations

Elisha Falbel·Jose Miguel Veloso
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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 $T^2$.

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Elisha Falbel, Jose Miguel Veloso. 2023-06-30. A global invariant for path structures and second order differential equations. https://arxiv.org/abs/2306.17705

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