Description:
Geodesic flows are one of the most remarkable classes of conservative dynamical systems because they provide a unified arena in which one can explore numerous interplays among several fields, including smooth ergodic theory, symplectic and Riemannian geometry, and algebraic topology. This self-contained presentation of geodesic flows introduces and discusses a variety of methods and tools that to date are only scattered throughout the literature. The book includes a concise introduction to the geodesic flow of a complete Riemannian manifold as well as numerous exercises and examples.
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