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 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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Produktdetails
Weitere Autoren: Hopper, Christopher
- ISBN: 978-3-642-16286-2
- EAN: 9783642162862
- Produktnummer: 33310711
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2010
- Seitenangabe: 302 S.
- Plattform: PDF
- Masse: 3'411 KB
- Auflage: 2011
- Abbildungen: 11 schwarz-weiße und 2 farbige Abbildungen, Bibliographie
- Reihenbandnummer: 2011
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A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem
A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem
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