A sufficient minimality condition for geodesics of the Hofer's metric

DOI10.1016/S1631-073X(02)02484-6zbMath1014.53051OpenAlexW2047153036MaRDI QIDQ700309

Jérôme Le Crapper

Publication date: 24 November 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02484-6

zbMATH Keywords

diffeomorphismHamiltonianmetricminimal geodesic

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geodesics in global differential geometry (53C22) Global theory of symplectic and contact manifolds (53D35)

Cites Work

• Symplectic topology as the geometry of generating functions
• Geodesics of Hofer's metric on the group of Hamiltonian diffeomorphisms
• Estimates for the energy of a symplectic map
• New minimal geodesics in the group of symplectic diffeomorphisms
• On the topological properties of symplectic maps
• Unnamed Item

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