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arXiv · 2607.10022

Computable functions as Reeb flows

Kai Cieliebak·Ángel González-Prieto·Eva Miranda
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Abstract

We prove that, given any contact $3$-manifold and any computable function $f: \mathbb{N} \dashrightarrow \mathbb{N}$, there exists a defining contact form and a Poincar\'e section of its Reeb flow whose partially defined return map computes $f$.

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BibTeXRIS

Kai Cieliebak, Ángel González-Prieto, Eva Miranda. 2026-07-10. Computable functions as Reeb flows. https://arxiv.org/abs/2607.10022

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