18 citations · 25 across the 4 of their papers we have counts for
4 papers
Hofer-Zehnder capacity of standard cotangent bundles
Leonardo Macarini
Let be a compact manifold with an effective semi-free circle action whose fixed point set has trivial normal bundle. We prove that its cotangent bundle endowed with the canonic…
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…
Symplectic manifolds with disconnected contact type boundary in dimension 4n
Leonardo Macarini
We give examples of compact symplectic manifolds with disconnected contact type boundary in dimension for any . The example is given by a subset of the tangent bundle…
Hofer-Zehnder semicapacity of cotangent bundles and symplectic submanifolds
Leonardo Macarini
We introduce the concept of Hofer-Zehnder -semicapacity (or -sensitive Hofer-Zehnder capacity) and prove that given a geometrically bounded symplectic manifold and an…