Riemannian geometry and geometric analysis
by Jost, Jürgen
This established reference work continues to introduce its readers to some of the hottest topics in contemporary mathematical research. This sixth edition includes, among other new additions, a systematic treatment of eigenvalues of Riemannian manifolds.
Read More ↓Title Statements
- Full title :Riemannian geometry and geometric analysis / Jürgen Jost.
Summary
This established reference work continues to introduce its readers to some of the hottest topics in contemporary mathematical research. This sixth edition includes, among other new additions, a systematic treatment of eigenvalues of Riemannian manifolds.
Read More ↓Edition Statements
- Publication Date:©2011.
- Edition:6th ed
Publication Statements
- Publisher(s):Springer
- Place of Publication:Heidelberg
- Language:eng
- Publication Date:©2011.
The Physical Object
- Description:1 online resource (xiii, 611 pages) : : illustrations
Edition Identifiers
- ISBN:9783642212987, 3642212980
- oclc:ocn768427973
- LC Classification:QA649
- Dewey Decimal:516.373
Table of Contents
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 -- A short survey on curvature and topology -- 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 -- A. Linear elliptic partial differential equations -- B. Fundamentals groups and covering spaces.
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