8 citations · 22 across the 9 of their papers we have counts for
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math.SG2003★ 6 cited
A refinement of the Hofer-Zehnder theorem on the existence of closed trajectories near a hypersurface
Leonardo Macarini, Felix Schlenk
The Hofer-Zehnder theorem states that almost every hypersurface in a thickening of a hypersurface in a symplectic manifold carries a closed characteristic provided that…
math.SG2003★ 6 cited
Applications of Hofer's geometry to Hamiltonian dynamics
Urs Frauenfelder, Felix Schlenk
We prove the following three results in Hamiltonian dynamics. 1. The Weinstein conjecture holds true for every displaceable hypersurface of contact type. 2. Every magnetic flow on…
math.SG2003★ 1 cited
Hamiltonian dynamics on convex symplectic manifolds
U. Frauenfelder, F. Schlenk
We study the dynamics of Hamiltonian diffeomorphisms on convex symplectic manifolds. To this end we first establish the Piunikhin-Salamon-Schwarz isomorphism between the Floer homo…