Will J. Merry

Closed orbits of a charge in a weakly exact magnetic field

We prove that for a weakly exact magnetic system on a closed connected Riemannian manifold, almost all energy levels contain a closed orbit. More precisely, we prove the following stronger statements. Let

Translated points and Rabinowitz Floer homology

(M,g)

Orderability and the Weinstein conjecture

denote a closed connected Riemannian manifold and

STABILITY OF ANOSOV HAMILTONIAN STRUCTURES

\sigma

Floer homology for non-resonant magnetic fields on flat tori

a weakly exact 2-form. Let

On the existence of infinitely many invariant Reeb orbits

\phi_{t}

On the Rabinowitz Floer homology of twisted cotangent bundles

denote the magnetic flow determined by

Orderability, contact non-squeezing, and Rabinowitz Floer homology

\sigma

On the growth rate of Leaf-Wise intersections

, and let

Index computations in Rabinowitz Floer homology

c