Abstract
We characterize which closed Reeb orbits of a dynamically convex contact form on the 3-sphere bound disk-like global surfaces of section for the Reeb flow, without any genericity assumptions. We show that these global surfaces of section come in families, organized as open book decompositions. As an application we obtain new global surfaces of section for the Hamiltonian dynamics on strictly convex three-dimensional energy levels.
Citation
Umberto L. Hryniewicz. "Systems of global surfaces of section for dynamically convex Reeb flows on the 3-sphere." J. Symplectic Geom. 12 (4) 791 - 862, December 2014.
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