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math.SG2011
Hofer's metrics and boundary depth
Michael Usher
We show that if (M,ω) is a closed symplectic manifold which admits a nontrivial Hamiltonian vector field all of whose contractible closed orbits are constant, then Hofer's metric o…
math.SG2011
Many closed symplectic manifolds have infinite Hofer-Zehnder capacity
Michael Usher
We exhibit many examples of closed symplectic manifolds on which there is an autonomous Hamiltonian whose associated flow has no nonconstant periodic orbits (the only previous expl…