Geodesics in the compactly supported Hamiltonian diffeomorphism group

DOI10.1007/BF02572615zbMath0843.58022MaRDI QIDQ1909548

Long, Yiming

Publication date: 17 March 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174810

zbMATH Keywords

geodesicsHofer's metrictime dependent HamiltoniansHamiltonian diffeomorphism group

Mathematics Subject Classification ID

Hamilton's equations (70H05) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geodesic flows in symplectic geometry and contact geometry (53D25) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Geodesics of Hofer's metric on the group of Hamiltonian diffeomorphisms ⋮ New minimal geodesics in the group of symplectic diffeomorphisms ⋮ Bi-invariant metrics on the contactomorphism groups

Cites Work

• Symplectic topology as the geometry of generating functions
• Symplectic displacement energy for Lagrangian submanifolds
• On the topological properties of symplectic maps
• Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces
• Periods of Periodic Solutions and the Lipschitz Constant
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