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Riemannian Geometry and Geometric Analysis

Jürgen Jost
Publisher: 
Springer
Publication Date: 
2011
Number of Pages: 
611
Format: 
Paperback
Edition: 
6
Series: 
Universitext
Price: 
84.95
ISBN: 
9783642212970
Category: 
Textbook
[Reviewed by
Fernando Q. Gouvêa
, on
08/25/2011
]

See our review of the fifth edition. According to the preface, the main addition to this edition is "a systematic presentation of the spectrum of the Laplace operator and its relation with the geometry of the underlying Riemannian manifold." The order of the chapters has also been rearranged.

1. Riemannian Manifolds

2. Lie Groups and Vector Bundles

3. The Laplace Operator and Harmonic Differential Forms

4. Connections and Curvature

5. Geodesics and Jacobi Fields

6. Symmetric Spaces and Kähler Manifolds

7. Morse Theory and Floer Homology

8. Harmonic Maps between Riemannian Manifolds

9. Harmonic Maps from Riemann Surfaces

10. Variational Problems from Quantum Field Theory

Appendices

A. Linear Elliptic Partial Differential Equations

B. Fundamental Groups and Covering Spaces

Bibliography

Index.

Dummy View - NOT TO BE DELETED