The Ricci Flow in Riemannian Geometry : A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem
This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a...
Αποθηκεύτηκε σε:
| Κύριοι συγγραφείς: | , |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Έκδοση: | 1st ed. 2011. |
| Σειρά: | Lecture Notes in Mathematics
2011 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
L'impression du document génère 302 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Ricci flow in Riemannian geometry, a complete proof of the differentiable 1/4-pinching sphere theorem, Ben Andrews, Christopher Hopper, Berlin, Springer, 2011, 1 vol. (XVII-296 p.), Lecture notes in mathematics, 978-3-642-16285-5 |
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| 084 | |a 35-XX. 2010 | ||
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| 100 | 1 | |a Andrews, Ben. | |
| 245 | 1 | 0 | |a The Ricci Flow in Riemannian Geometry : |b A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem |c Ben Andrews, Christopher Hopper. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 2011 |x 1617-9692 | |
| 500 | |a L'impression du document génère 302 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 1 Introduction 2 Background Material 3 Harmonic Mappings 4 Evolution of the Curvature 5 Short-Time Existence 6 Uhlenbeck s Trick 7 The Weak Maximum Principle 8 Regularity and Long-Time Existence 9 The Compactness Theorem for Riemannian Manifolds 10 The F-Functional and Gradient Flows 11 The W-Functional and Local Noncollapsing 12 An Algebraic Identity for Curvature Operators 13 The Cone Construction of Böhm and Wilking 14 Preserving Positive Isotropic Curvature 15 The Final Argument | |
| 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 book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem | ||
| 650 | |a Flot de Ricci | ||
| 650 | |a Géométrie de Riemann | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 700 | 1 | |a Hopper, Christopher. |4 aut | |
| 776 | 0 | |0 148939635 |t The Ricci flow in Riemannian geometry |o a complete proof of the differentiable 1/4-pinching sphere theorem |f Ben Andrews, Christopher Hopper |c Berlin |n Springer |d 2011 |p 1 vol. (XVII-296 p.) |s Lecture notes in mathematics |z 978-3-642-16285-5 | |
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