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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Andrews, Ben (Autor), Hopper, Christopher (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Lecture Notes in Mathematics, 2011
Temas:
Differential equations.
Geometry, Differential.
Global analysis (Mathematics).
Manifolds (Mathematics).
Differential Equations.
Differential Geometry.
Global Analysis and Analysis on Manifolds.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XVIII, 302 p. 13 illus., 2 illus. in color. online resource.
ISBN:9783642162862
ISSN:1617-9692 ;

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