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math.DG2025
On the space of cone geodesics and positive paths of contactomorphisms
Jakob Hedicke
Often it is possible to equip the space of all cone geodesics of a strongly convex cone structure with the structure of a smooth contact manifold. This generalizes the analogous no…
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…