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...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Andrews, Ben (Auteur), Hopper, Christopher (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Édition:1st ed. 2011.
Collection:Lecture Notes in Mathematics, 2011
Sujets:
Differential equations.
Geometry, Differential.
Global analysis (Mathematics).
Manifolds (Mathematics).
Differential Equations.
Differential Geometry.
Global Analysis and Analysis on Manifolds.
Accès en ligne:Texto Completo
Description
Résumé: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.
Description matérielle:XVIII, 302 p. 13 illus., 2 illus. in color. online resource.
ISBN:9783642162862
ISSN:1617-9692 ;

Documents similaires