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This article is cited in 57 scientific papers (total in 57 papers)
Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry
A. V. Bolsinova, V. S. Matveeva, A. T. Fomenko a M. V. Lomonosov Moscow State University
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.
Received: 04.06.1998
Citation:
A. V. Bolsinov, V. S. Matveev, A. T. Fomenko, “Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry”, Mat. Sb., 189:10 (1998), 5–32; Sb. Math., 189:10 (1998), 1441–1466
Linking options:
https://www.mathnet.ru/eng/sm346https://doi.org/10.1070/sm1998v189n10ABEH000346 https://www.mathnet.ru/eng/sm/v189/i10/p5
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Abstract page: | 1031 | Russian version PDF: | 526 | English version PDF: | 37 | References: | 113 | First page: | 4 |
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