2 papers
math.SG2020
Global hypersurfaces of section in the spatial restricted three-body problem
Agustin Moreno, Otto van Koert
We propose a contact-topological approach to the spatial circular restricted three-body problem, for energies below and slightly above the first critical energy value. We prove the…
math.SG2019
A Reeb flow on the three-sphere without a disk-like global surface of section
Otto van Koert
We show that there are Reeb flows on the standard, tight three-sphere that do not admit global surfaces of section with one boundary component. In particular, the Reeb flows that w…