On Anosov energy levels of convex Hamiltonian systems

DOI10.1007/BF02571949zbMath0820.58022OpenAlexW1964758918MaRDI QIDQ1346328

Miguel Paternain, Gabriel P. Paternain

Publication date: 17 September 1995

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

Full work available at URL: https://eudml.org/doc/174695

zbMATH Keywords

convex HamiltonianAnosov energy levelMaupertuis metric

Mathematics Subject Classification ID

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

Related Items (8)

Rigidity properties of Anosov optical hypersurfaces ⋮ A particular minimization property implies \(C^{0}\)-integrability ⋮ Reversibility at infinity and rigidity of Finsler manifolds without conjugate points ⋮ Rigidity of magnetic flows for compact surfaces ⋮ Classical motion in random potentials ⋮ STABILITY OF ANOSOV HAMILTONIAN STRUCTURES ⋮ On Finsler manifolds with hyperbolic geodesic flows ⋮ On Anosov energy levels of hamiltonians on twisted cotangent bundles

Cites Work

• Hamiltonian diffeomorphisms and Lagrangian distributions
• On the Morse index in variational calculus
• Riemannian manifolds with geodesic flow of Anosov type
• Asymptotic cycles
• Closed orbits and converse KAM theory
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