STABILITY OF ANOSOV HAMILTONIAN STRUCTURES

DOI10.1142/S1793525310000434zbMath1206.53081arXiv0903.3969OpenAlexW2963485498MaRDI QIDQ3069522

Gabriel P. Paternain, Will J. Merry

Publication date: 26 January 2011

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3969

zbMATH Keywords

Anosov flowsmagnetic flowsstable Hamiltonian structures

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Global Riemannian geometry, including pinching (53C20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (2)

Stable Hamiltonian structures in dimension 3 are supported by open books ⋮ Symplectic topology of Mañé's critical values

Cites Work

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• Geometry of contact transformations and domains: orderability versus squeezing
• Compactness for punctured holomorphic curves
• Symplectic topology of Mañé's critical values
• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• On Anosov energy levels of convex Hamiltonian systems
• The dynamics of magnetic flows for energies above Mañé's critical value
• Compactness results in symplectic field theory
• Invariant two-forms for geodesic flows
• Anosov magnetic flows, critical values and topological entropy

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