Geodesic compatibility and integrability of geodesic flows

DOI10.1063/1.1526939zbMath1061.37042OpenAlexW1985492252MaRDI QIDQ4832920

Peter J. Topalov

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1526939

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (12)

Geodesic compatibility: goldfish systems ⋮ The Jacobi-Rosochatius problem on an ellipsoid: the Lax representations and billiards ⋮ Applications of Nijenhuis geometry. V: Geodesic equivalence and finite-dimensional reductions of integrable quasilinear systems ⋮ Integrable systems on a sphere, an ellipsoid and a hyperboloid ⋮ \(C\)-projective equivalence and integrability of the geodesic flow ⋮ TWO REMARKS ON PQ^ε-PROJECTIVITY OF RIEMANNIAN METRICS ⋮ On Fε2-planar mappings with function ε of (pseudo-)Riemannian manifolds ⋮ On the groups of c-projective transformations of complete Kähler manifolds ⋮ On Liouville integrability of $h$-projectively equivalent Kähler metrics ⋮ C-projective geometry ⋮ Geodesic flows of c-projectively equivalent metrics are quantum integrable ⋮ Local normal forms for geodesically equivalent pseudo-Riemannian metrics

Cites Work

• Two classes of Riemannian manifolds whose geodesic flows are integrable
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