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...
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| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edizione: | 6th edition. |
| Serie: | Universitext
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| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
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| 020 | |a 9783642212987 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516.36 | ||
| 084 | |a 53-01. 2010 | ||
| 084 | |a 58-01. 2010 | ||
| 084 | |a 53C20. 2010 | ||
| 084 | |a 53B21. 2010 | ||
| 100 | 1 | |a Jost, Jürgen, |d 1956-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Riemannian geometry and geometric analysis |c Jürgen Jost. |
| 250 | |a 6th edition. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 587-604 de l'édition imprimée. Index | ||
| 505 | 1 | |a 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. | |
| 505 | 0 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 closed geodesics and harmonic forms. It also discussed further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry. The 6th edition includes a systematic treatment of eigenvalues of Riemannian manifolds and several other additions. Also, the entire material has been reorganized in order to improve the coherence of the book. From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. ... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome." Mathematical Reviews "...the material ... is self-contained. Each chapter ends with a set of exercises. Most of the paragraphs have a section Perspectives , written with the aim to place the material in a broader context and explain further results and directions." Zentralblatt MATH | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Géométrie différentielle globale | ||
| 776 | 0 | |0 166659916 |t Riemannian geometry and geometric analysis |f Jürgen Jost |e 6th edition |d 2011 |c Berlin |n Springer |p 1 vol. (xiii-611 p.) |s Universitext |z 978-3-642-21297-0 | |
| 776 | 0 | |0 166659916 |t Riemannian geometry and geometric analysis |f Jürgen Jost |e 6th edition |d 2011 |c Berlin |n Springer |p 1 vol. (xiii-611 p.) |s Universitext |z 978-3-642-21297-0 | |
| 776 | 0 | |t Riemannian Geometry and Geometric Analysis |b Texte imprimé |z 9783642212994 | |
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