Local non-squeezing theorems and stability

DOI10.1007/BF01895671zbMath0837.58014OpenAlexW4239548532MaRDI QIDQ1902001

Dusa McDuff, François Lalonde

Publication date: 14 November 1995

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58193

zbMATH Keywords

Hofer's metricsymplectic homologycharacteristic flowsnon-squeezing theorems

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

A field theory for symplectic fibrations over surfaces, A symplectic embedding of the cube with minimal sections and a question by Schlenk, Hofer's \(L^ \infty\)-geometry: Energy and stability of Hamiltonian flows. I, Hofer's \(L^ \infty\)-geometry: Energy and stability of Hamiltonian flows. II, Bi-invariant metrics on the contactomorphism groups, Conjugate points on geodesics of Hofer's metric, HOW LARGE IS THE SHADOW OF A SYMPLECTIC BALL?, Floer homologies, with applications, Symplectic topology in the nineties

Cites Work

• Pseudo holomorphic curves in symplectic manifolds
• Geodesics of Hofer's metric on the group of Hamiltonian diffeomorphisms
• Conjugate points on geodesics of Hofer's metric