Collective geodesic flows.

DOI10.5802/aif.1944zbMath1066.53135OpenAlexW2328305984MaRDI QIDQ1864246

Gabriel P. Paternain, Leo T. Butler

Publication date: 17 March 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_1_265_0

zbMATH Keywords

topological entropymoment mapMelnikov integralsemi-simple Lie algebrascollective geodesic flows

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Momentum maps; symplectic reduction (53D20) Topological entropy (37B40) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (2)

On the integrability of Tonelli Hamiltonians ⋮ Vanishing of the entropy pseudonorm for certain integrable systems

Cites Work

• The local structure of Poisson manifolds
• The algebraic integrability of geodesic flow on SO(4)
• Integrable Euler equations on SO(4) and their physical applications
• The algebraic complete integrability of geodesic flow on SO(N)
• Dynamical systems III. (Transl. from the Russian)
• The moment map and collective motion
• On the topological entropy of geodesic flows
• Homoclinic points and intersections of Lagrangian submanifolds
• A geometric criterion for positive topological entropy
• Geodesic flow on SO(4) and the intersection of quadrics
• Horseshoes for autonomous Hamiltonian systems using the Melnikov integral
• Integrable geodesic flows on homogeneous spaces
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Riemannian geometry
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