2 papers
math.SG2026
Bott-integrable contact forms with large systolic ratio
Hansjörg Geiges, Jakob Hedicke, Murat SaÄlam
We show that there is no universal upper bound for the systolic ratio of Bott-integrable contact forms on closed 3-manifolds, thus providing further evidence for the relative flexi…
math.SG2025
Bott-integrability of overtwisted contact structures
Hansjörg Geiges, Jakob Hedicke, Murat SaÄlam
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…