RIEMANNIAN GEOMETRY AND GEOMETRIC ANALYSIS - Couverture souple

Jost, Jürgen

Couverture souple

ISBN 10 : 3540571132 ISBN 13 : 9783540571131

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1995

Synopsis

This textbook introduces techniques from nonlinear analysis at an early stage. Such techniques have recently become an indispensable tool in research in geometry, and they are treated here for the first time in a textbook. Topics include: Differentiable and Riemannian manifolds, metric properties, tensor calculus, vector bundles; the Hodge Theorem for de Rham cohomology; connections and curvature, the Yang-Mills functional; geodesics and Jacobi fields, Rauch comparison theorem and applications; Morse theory (including an introduction to algebraic topology), applications to the existence of closed geodesics; symmetric spaces and Kahler manifolds; the Palais-Smale condition and closed geodesics; Harmonic maps, minimal surfaces.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1995
• Langue: anglais
• ISBN 10: 3540571132
• ISBN 13: 9783540571131
• Reliure: Broché
• Numéro d'édition: 2
• Nombre de pages: 412
• Coordonnées du fabricant: non disponible
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