Geodesic Flows
Gabriel P. Paternain
Geodesic Flows
Gabriel P. Paternain
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This work begins with an introduction to the geodesic flow of a complete Riemannian manifold, emphasizing its sympletic properties and culminating with various applications such as the non-existence of continuous invariant Lagrangian sub-bundles for manifolds with conjugate points. Subsequent chapters develop the relationship between the exponential growth rate of the average number of geodesic arcs between two points.
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