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math.DS2022★ 1 cited
Periodic orbits and Birkhoff sections of stable Hamiltonian structures
Robert Cardona, Ana Rechtman
Stable Hamiltonian structures generalize contact forms and define a volume-preserving vector field known as the Reeb vector field. We study two aspects of Reeb vector fields define…
math.DS2022★ 2 cited
Generic properties of -dimensional Reeb flows: Birkhoff sections and entropy
Vincent Colin, Pierre Dehornoy, Umberto Hryniewicz +1
In this paper we use broken book decompositions to study Reeb flows on closed -manifolds. We show that if the Liouville measure of a nondegenerate contact form can be approximat…