From a Reeb orbit trap to a Hamiltonian plug
We present a simple construction of a plug for Hamiltonian flows on hypersurfaces of dimension at least five by doubling a trap for Reeb orbits.
math.DS↗
arXiv subjects
Nena Röttgen
Publications and source records attributed to Nena Röttgen.
Trapped Reeb orbits do not imply periodic ones
We construct a contact form on R^{2n+1}, n at least 2, equal to the standard contact form outside a compact set and defining the standard contact structure on all of R^{2n+1}, which has trapped Reeb orbits, including a torus invariant under the Reeb flow, but no closed Reeb orbits. This answers a question posed by Helmut Hofer.
math.SG↗