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

MARC

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100 1 |a Andrews, Ben.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 4 |a The Ricci Flow in Riemannian Geometry  |h [electronic resource] :  |b A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem /  |c by Ben Andrews, Christopher Hopper. 
250 |a 1st ed. 2011. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2011. 
300 |a XVIII, 302 p. 13 illus., 2 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2011 
505 0 |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. 
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 0 |a Differential equations. 
650 0 |a Geometry, Differential. 
650 0 |a Global analysis (Mathematics). 
650 0 |a Manifolds (Mathematics). 
650 1 4 |a Differential Equations. 
650 2 4 |a Differential Geometry. 
650 2 4 |a Global Analysis and Analysis on Manifolds. 
700 1 |a Hopper, Christopher.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783642162855 
776 0 8 |i Printed edition:  |z 9783642162879 
830 0 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2011 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-642-16286-2  |z Texto Completo 
912 |a ZDB-2-SMA 
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912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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