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math.SG2025
Bott-integrability of overtwisted contact structures
Hansjörg Geiges, Jakob Hedicke, Murat Sağlam
We show that an overtwisted contact structure on a closed, oriented 3-manifold can be defined by a contact form having a Bott-integrable Reeb flow if and only if the Poincaré dual…
math.SG2023★ 3 cited
Bott-integrable Reeb flows on 3-manifolds
Hansjörg Geiges, Jakob Hedicke, Murat Sağlam
This paper is devoted to studying a notion of Bott integrability for Reeb flows on contact 3-manifolds. We show, in analogy with work of Fomenko-Zieschang on Hamiltonian flows in d…