12 citations · 13 across the 2 of their papers we have counts for
2 papers
math.SG2022★ 1 cited
Symmetric periodic Reeb orbits on the sphere
Miguel Abreu, Hui Liu, Leonardo Macarini
A long standing conjecture in Hamiltonian Dynamics states that every contact form on the standard contact sphere has at least simple periodic Reeb orbits. In this…
math.SG2021★ 12 cited
Contact three-manifolds with exactly two simple Reeb orbits
Dan Cristofaro-Gardiner, Umberto Hryniewicz, Michael Hutchings +1
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. We show that if there are exactl…