25 citations · 25 across the 3 of their papers we have counts for
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math.SG2009
Shortening the Hofer length of Hamiltonian circle actions
Yael Karshon, Jennifer Slimowitz
A Hamiltonian circle action on a compact symplectic manifold is known to be a closed geodesic with respect to the Hofer metric on the group of Hamiltonian diffeomorphisms. If the m…
math.SG2001★ 25 cited
Hofer-Zehnder capacity and length minimizing Hamiltonian paths
Dusa McDuff, Jennifer Slimowitz
We use the criteria of Lalonde and McDuff to show that a path that is generated by a generic autonomous Hamiltonian is length minimizing with respect to the Hofer norm among all ho…
math.SG1999
Hofer-Zehnder capacity and length minimizing paths in the Hofer norm
Jennifer Slimowitz
We use the criteria of Lalonde and McDuff to determine a new class of examples of length minimizing paths in the group . For a compact symplectic manifold of dimension…