Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry
Journal Article
·
· Sbornik. Mathematics
- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
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.
- OSTI ID:
- 21202816
- Journal Information:
- Sbornik. Mathematics, Vol. 189, Issue 10; Other Information: DOI: 10.1070/SM1998v189n10ABEH000346; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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