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Item Details
Title: RIEMANNIAN GEOMETRY AND GEOMETRIC ANALYSIS
By: Jurgen Jost
Format: Paperback

List price: £30.00


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 3540571132
ISBN 13: 9783540571131
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 18 September, 1997
Edition: 1995. 2nd Printing ed.
Series: Universitext
Pages: 412
Description: This textbook introduces techniques from non-linear analysis at an early stage. Topics covered include: differentiable and Riemannian manifolds, metric properties, tensor calculus and vector bundles; and the Hodge Theorem for de Rham cohomology.
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.
Illustrations: Illustrations
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Non-returnable
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