Introduction to Geodesic Flows
Our aim in this chapter is to introduce the geodesic flow on the tangent bundle of a complete Riemannian manifold from several points of view. Geodesic flows have the remarkable property of being at the intersection of various branches in mathematics; this gives them a rich structure and makes them an exciting subject of research with a long tradition.
KeywordsVector Field Symplectic Form Complete Riemannian Manifold Contact Manifold Invariant Probability Measure
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