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math.DS2017
Odd-symplectic forms via surgery and minimality in symplectic dynamics
Hansjörg Geiges, Kai Zehmisch
We construct an infinite family of odd-symplectic forms (also known as Hamiltonian structures) on the 3-sphere that do not admit a symplectic cobordism to the standard contact stru…
math.DS2017★ 12 cited
Reeb dynamics inspired by Katok's example in Finsler geometry
Peter Albers, Hansjörg Geiges, Kai Zehmisch
Inspired by Katok's examples of Finsler metrics with a small number of closed geodesics, we present two results on Reeb flows with finitely many periodic orbits. The first result i…