Singularities of integrable geodesic flows on multidimensional torus and sphere

DOI10.1016/0393-0440(95)00008-9zbMath0849.58053OpenAlexW2091495982MaRDI QIDQ1911158

Nguyen Tien Zung

Publication date: 10 November 1996

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(95)00008-9

zbMATH Keywords

singularitiesspheretorusgeodesic flowsLiouville metrics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Geodesic flow on three-dimensional ellipsoids with equal semi-axes, Singularities of integrable and near-integrable Hamiltonian systems, Geodesics on the ellipsoid and monodromy, Singular Bohr–Sommerfeld rules for 2D integrable systems, Unnamed Item, The number of connected components in the preimage of a regular value of the momentum mapping for the geodesic flow on ellipsoid

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