Symplectic diffeomorphisms as isometries of Hofer's norm

DOI10.1016/S0040-9383(96)00024-9zbMath0874.53028OpenAlexW2025921779MaRDI QIDQ2564633

François Lalonde, Leonid Polterovich

Publication date: 15 January 1997

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0040-9383(96)00024-9

zbMATH Keywords

Lagrangian submanifoldsnonpositive curvatureHofer metricHamiltonian diffeomorphismssymplectic diffeomorphismsbounded symplectomorphisms

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential topological aspects of diffeomorphisms (57R50)

Related Items (14)

A few remarks about symplectic filling ⋮ Hofer's \(L^ \infty\)-geometry: Energy and stability of Hamiltonian flows. II ⋮ Bi-invariant metrics on the contactomorphism groups ⋮ Pseudo-distances on symplectomorphism groups and applications to flux theory ⋮ Length minimizing Hamiltonian paths for symplectically aspherical manifolds. ⋮ Quelques plats pour la métrique de Hofer ⋮ Displaceability of certain constant sectional curvature Lagrangian submanifolds ⋮ On the bounded isometry conjecture ⋮ The bounded isometry conjecture for the Kodaira-Thurston manifold and the 4-torus ⋮ Hamiltonian dynamics on convex symplectic manifolds ⋮ A cocycle on the group of symplectic diffeomorphisms ⋮ Bi-invariant metrics on the group of symplectomorphisms ⋮ Bounded symplectic diffeomorphisms and split flux groups ⋮ Symplectic topology in the nineties

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