for Kindle Fire, Apple, Android, Nook, Kobo, PC, Mac, BlackBerry ...

New to

Learn more

Lectures on the Ricci Flow

Lectures on the Ricci Flow by Peter Topping
Not available
US$ 47.00
(If any tax is payable it will be calculated and shown at checkout.)
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.
Cambridge University Press; Read online
Title: Lectures on the Ricci Flow
Author: Peter Topping
Buy, download and read Lectures on the Ricci Flow (eBook) by Peter Topping today!

This edition is not for sale in your country. Here are some titles that might be what you're after...