Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometryстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 28 декабря 2015 г.
Аннотация: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.