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...
محفوظ في:
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2011. |
| سلاسل: | Lecture Notes in Mathematics
2011 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
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 |
جدول المحتويات:
- 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