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math.DS1995★ 2 cited
Hofer's -geometry: energy and stability of Hamiltonian flows, part II
François Lalonde, Dusa McDuff
In this paper we first show that the necessary condition introduced in our previous paper is also a sufficient condition for a path to be a geodesic in the group $\Ham^c(M)$ of com…
math.DS1995★ 4 cited
Hofer's -geometry: energy and stability of Hamiltonian flows, part I
François Lalonde, Dusa McDuff
Consider the group $\Ham^c(M)$ of compactly supported Hamiltonian symplectomorphisms of the symplectic manifold $(M,\om)$ with the Hofer -norm. A path in $\Ham^c(M)$ wi…