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Riemannian Geometry and Geometric Analysis

Edition: 
6
Publisher: 
Springer
Number of Pages: 
611
Price: 
84.95
ISBN: 
9783642212970

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.

Date Received: 
Thursday, August 25, 2011
Reviewable: 
Yes
Include In BLL Rating: 
No
Jürgen Jost
Series: 
Universitext
Publication Date: 
2011
Format: 
Paperback
Category: 
Textbook
Fernando Q. Gouvêa
08/25/2011

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.

Publish Book: 
Modify Date: 
Thursday, August 25, 2011

Dummy View - NOT TO BE DELETED