RIEMANNIAN GEOMETRY AND GEOMETRIC ANALYSIS by Jurgen Jost ( 9783540571131 )

Item Details

Title:

RIEMANNIAN GEOMETRY AND GEOMETRIC ANALYSIS

By:

Format:

Paperback

List price:	£30.00
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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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