Lyapunov 1-forms on orbifolds
arXiv:2512.01879
Abstract
We introduce and analyze a notion of smooth Lyapunov 1-form for flows generated by vector fields on orbifolds. Using asymptotic cycles and chain-recurrent sets, we establish topological conditions that guarantee the existence of a Lyapunov 1-form, lying in a prescribed cohomology class, for a given vector field on a compact orbifold.
18 pages. Preliminary version. Comments are very welcome