Ben Andrews, Christopher Hopper

eBook, PDF

The Ricci Flow in Riemannian Geometry (eBook, PDF)

A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem

Beschreibung

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.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 3.33MB

Barrierefreiheit

• Text-to-Speech

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 302
• Erscheinungstermin: 9. November 2010
• Englisch
• ISBN-13: 9783642162862
• Artikelnr.: 44228607

Rezensionen

From the reviews:
"The book is dedicated almost entirely to the analysis of the Ricci flow, viewed first as a heat type equation hence its consequences, and later from the more recent developments due to Perelman's monotonicity formulas and the blow-up analysis of the flow which was made thus possible. ... is very enjoyable for specialists and non-specialists (of curvature flows) alike." (Alina Stancu, Zentralblatt MATH, Vol. 1214, 2011)