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On the local and global properties of geodesics in pseudo-Riemannian metricsстатья
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: 19 сентября 2015 г.
- Автор: Remizov A.O.
- Журнал: Differential Geometry and its Applications
- Том: 39
- Год издания: 2015
- Издательство: Elsevier BV
- Местоположение издательства: Netherlands
- Первая страница: 36
- Последняя страница: 58
- DOI: 10.1016/j.difgeo.2015.01.003
- Аннотация: The paper is a study of geodesics in two-dimensional pseudo-Riemannian metrics. Firstly, the local properties of geodesics in a neighborhood of generic parabolic points are investigated. The equation of the geodesic flow has singularities at such points that leads to a curious phenomenon: geodesics cannot pass through such a point in arbitrary tangential directions, but only in certain directions said to be admissible (the number of admissible directions is generically 1 or 3). Secondly, we study the global properties of geodesics in pseudo-Riemannian metrics possessing differentiable groups of symmetries. At the end of the paper, two special types of discontinuous metrics are considered.
- Добавил в систему: Ремизов Алексей Олегович