Applications of Hofer’s Geometry to Hamiltonian Dynamics

@inproceedings{Schlenk2003ApplicationsOH,
  title={Applications of Hofer’s Geometry to Hamiltonian Dynamics},
  author={Felix Schlenk},
  year={2003}
}
We prove the following three results in Hamiltonian dynamics. • The Weinstein conjecture holds true for every displaceable hypersurface of contact type. • Every magnetic flow on a closed Riemannian manifold has contractible closed orbits for a dense set of small energies. • Every closed Lagrangian submanifold whose fundamental group injects and which admits a Riemannian metric without closed geodesics has the intersection property. The proofs all rely on the following creation mechanism for… CONTINUE READING
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