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arXiv · 2512.01879

Lyapunov 1-forms on orbifolds

Fabricio Valencia
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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.

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Fabricio Valencia. 2025-12-01. Lyapunov 1-forms on orbifolds. https://arxiv.org/abs/2512.01879

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