Riemannian geometry and geometric analysis
This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. The previous edition already introduced and explained the ideas of the parabolic methods that had found a spectacular success in the work of Perelman at the examples of...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 6th edition. |
| Collection: | Universitext
|
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Riemannian geometry and geometric analysis, Jürgen Jost, 6th edition, 2011, Berlin, Springer, 1 vol. (xiii-611 p.), Universitext, 978-3-642-21297-0 • Riemannian geometry and geometric analysis, Jürgen Jost, 6th edition, 2011, Berlin, Springer, 1 vol. (xiii-611 p.), Universitext, 978-3-642-21297-0 • Riemannian Geometry and Geometric Analysis, Texte imprimé, 9783642212994 |
Table des matières:
- 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 K ahler 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 A.1 Sobolev Spaces A.2 Linear Elliptic Equations A.3 Linear Parabolic Equations B. Fundamental Groups and Covering Spaces Bibliography Index.
- 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 K ahler 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
- A.1 Sobolev Spaces
- A.2 Linear Elliptic Equations
- A.3 Linear Parabolic Equations
- B. Fundamental Groups and Covering Spaces
- Bibliography
- Index