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Geodesic flows

Geodesic flows

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Autor: Paternain, Gabriel P..
ISBN: 978-0-8176-4144-3.
Editorial: Birkhauser
Características: 1999, 149 Págs., 1999, Inglés, Cartoné.
Precio orientativo: 67,09 euros (IVA incluido).
Materia: Geologia/ciencias de la tierra.
Sub-materia: Geodesia/fotografia aerea.

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Sinopsis de Geodesic flows

INDICE: PREFACE. INTRODUCTION. INTRODUCTION TO GEODESIC FLOWS: Geodesic flow of a complete Riemannian manifold. Symplectic and contact manifolds. The geometry of the tangent bundle. The contangent bundle. Jacobi fields and the differential of the geodesic flow. The asymptotic cycle and the stable norm. THE GEODESIC FLOW ACTING ON LAGRANGIAN SUBSPACES: Twist properties Riccati equations. The Grassmannian bundle of Lagrangian subspaces. The Maslov index. The geodesic flow acting at the level of Lagrangian subspaces. Continuous invariant. Lagrangian subbundles in SM Birkhoff's second theorem for geodesic flows. GEODESIC ARCS, COUNTING FUNCTIONS AND TOPOLOGICAL ENTROPY: The counting functions Entropies and Yomdin's theorem. Geodesic arcs and topological entropy. Manning's inequality. A uniform version of Yomdin's Theorem. MAÑÉ'S FORMULA FOR GEODESIC FLOWS AND CONVEX BILLIARDS: Time shifts that avoid the vertical Mane's formula...


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