Green bundles and regularity of \(C^0\)-Lagrangians invariant graphs of Tonelli flows.

DOI10.1007/S00023-008-0375-7zbMath1143.70009OpenAlexW2075957118MaRDI QIDQ944215

Marie-Claude Arnaud

Publication date: 12 September 2008

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-008-0375-7

zbMATH Keywords

Lebesgue measureautonomous case

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

Related Items (12)

Lyapunov exponents of minimizing measures for globally positive diffeomorphisms in all dimensions ⋮ On the \(C^1\) and \(C^2\)-convergence to weak K.A.M. solutions ⋮ When are the invariant submanifolds of symplectic dynamics Lagrangian? ⋮ On the fragility of periodic tori for families of symplectic twist maps ⋮ A particular minimization property implies \(C^{0}\)-integrability ⋮ Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures ⋮ The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents ⋮ Lower and upper bounds for the Lyapunov exponents of twisting dynamics: a relationship between the exponents and the angle of Oseledets’ splitting ⋮ Closing Aubry Sets I ⋮ Generic hyperbolicity of aubry sets on surfaces ⋮ Tonelli Hamiltonians without conjugate points and \(C^0\) integrability ⋮ Inverse problems and rigidity questions in billiard dynamics

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