The Ricci flow in Riemannian geometry: a complete proof of the differentiable 14-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
Autores principales: Andrews, Ben, Hopper, Christopher
Lenguaje:eng
Publicado: Springer 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-16286-2
http://cds.cern.ch/record/1691773
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author Andrews, Ben
Hopper, Christopher
author_facet Andrews, Ben
Hopper, Christopher
author_sort Andrews, Ben
collection CERN
description 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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
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spelling cern-16917732021-04-21T21:07:11Zdoi:10.1007/978-3-642-16286-2http://cds.cern.ch/record/1691773engAndrews, BenHopper, ChristopherThe Ricci flow in Riemannian geometry: a complete proof of the differentiable 14-pinching sphere theoremMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:16917732011
spellingShingle Mathematical Physics and Mathematics
Andrews, Ben
Hopper, Christopher
The Ricci flow in Riemannian geometry: a complete proof of the differentiable 14-pinching sphere theorem
title The Ricci flow in Riemannian geometry: a complete proof of the differentiable 14-pinching sphere theorem
title_full The Ricci flow in Riemannian geometry: a complete proof of the differentiable 14-pinching sphere theorem
title_fullStr The Ricci flow in Riemannian geometry: a complete proof of the differentiable 14-pinching sphere theorem
title_full_unstemmed The Ricci flow in Riemannian geometry: a complete proof of the differentiable 14-pinching sphere theorem
title_short The Ricci flow in Riemannian geometry: a complete proof of the differentiable 14-pinching sphere theorem
title_sort ricci flow in riemannian geometry: a complete proof of the differentiable 14-pinching sphere theorem
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-642-16286-2
http://cds.cern.ch/record/1691773
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AT andrewsben ricciflowinriemanniangeometryacompleteproofofthedifferentiable14pinchingspheretheorem
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