Lectures on the Ricci Flow - Couverture souple

Topping, Peter

Couverture souple

ISBN 10 : 0521689473 ISBN 13 : 9780521689472

Editeur : Cambridge University Press, 2010

Synopsis

Book by Topping Peter

A propos du livre

Présentation de l'éditeur :

Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincaré conjecture and Thurston's geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman's breakthroughs from 2002/2003. After describing the basic properties of, and intuition behind the Ricci flow, core elements of the theory are discussed such as consequences of various forms of maximum principle, issues related to existence theory, and basic properties of singularities in the flow. A detailed exposition of Perelman's entropy functionals is combined with a description of Cheeger-Gromov-Hamilton compactness of manifolds and flows to show how a 'tangent' flow can be extracted from a singular Ricci flow. Finally, all these threads are pulled together to give a modern proof of Hamilton's theorem that a closed three-dimensional manifold whichcarries a metric of positive Ricci curvature is a spherical space form.

Revue de presse :

"... The freedom to skip some of the proofs, and the lucid presentation, this small book is pleasant to read."
Peng Lu, Mathematical Reviews

À propos de cette édition

• Éditeur: Cambridge University Press
• Date d'édition: 2010
• ISBN 10: 0521689473
• ISBN 13: 9780521689472
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 124