Abstract:
Classical and new results on integrable geodesic flows on two-dimensional surfaces are reviewed. The central question is the classification of such flows up to various equivalences, of which the following four kinds are the most interesting ones: 1) isometry; 2) geodesic equivalence;
3) orbital equivalence; 4) Liouville equivalence.
Citation:
A. V. Bolsinov, V. S. Matveev, A. T. Fomenko, “Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry”, Sb. Math., 189:10 (1998), 1441–1466
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\by A.~V.~Bolsinov, V.~S.~Matveev, A.~T.~Fomenko
\paper Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry
\jour Sb. Math.
\yr 1998
\vol 189
\issue 10
\pages 1441--1466
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Linking options:
https://www.mathnet.ru/eng/sm346
https://doi.org/10.1070/sm1998v189n10ABEH000346
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