Universitext

Riemannian Geometry and Geometric Analysis

Authors: Jost, J.

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About this Textbook

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 treated 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 Kähler manifolds; the Palais-Smale condition and closed geodesics; Harmonic maps, minimal surfaces.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-3-662-03118-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Riemannian Geometry and Geometric Analysis
Authors
Series Title
Universitext
Copyright
1995
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-03118-6
DOI
10.1007/978-3-662-03118-6
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XI, 404
Topics