Zero entropy, non-integrable geodesic flows and a non-commutative rotation vector

DOI10.1090/S0002-9947-03-03334-8zbMath1054.37036MaRDI QIDQ4417281

Leo T. Butler

Publication date: 28 July 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

entropynilmanifoldgeodesic flownonintegrabilityrotation vector

Mathematics Subject Classification ID

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) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Rotation numbers and vectors (37E45)

Related Items (5)

On first integrals of the geodesic flow on Heisenberg nilmanifolds ⋮ Ergodic measures of geodesic flows on compact Lie groups ⋮ Integrability of geodesic flows and isospectrality of Riemannian manifolds ⋮ On the complete integrability of the geodesic flow of pseudo-\(H\)-type Lie groups ⋮ The geodesic flow on nilmanifolds associated to graphs

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