no code implementations • 9 Feb 2021 • Dan Cristofaro-Gardiner, Umberto Hryniewicz, Michael Hutchings, Hui Liu
It is known that every contact form on a closed three-manifold has at least two simple Reeb orbits, and a generic contact form has infinitely many.
Symplectic Geometry Dynamical Systems
no code implementations • 8 Feb 2021 • Dan Cristofaro-Gardiner, Vincent Humilière, Sobhan Seyfaddini
We resolve three longstanding questions related to the large scale geometry of the group of Hamiltonian diffeomorphisms of the two-sphere, equipped with Hofer's metric.
Symplectic Geometry Dynamical Systems 53D05, 37E30, 58D05, 53D40, 53D99
