Description: Further DetailsTitle: Lectures on the Ricci FlowCondition: NewEAN: 9780521689472ISBN: 9780521689472Publisher: Cambridge University PressFormat: PaperbackRelease Date: 10/12/2006Description: 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.Language: EnglishCountry/Region of Manufacture: GBItem Height: 230mmItem Length: 153mmItem Width: 7mmItem Weight: 189gAuthor: Peter ToppingGenre: Science Nature & MathBook Series: London Mathematical Society Lecture Note SeriesRelease Year: 2006 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
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Book Title: Lectures on the Ricci Flow
Title: Lectures on the Ricci Flow
EAN: 9780521689472
ISBN: 9780521689472
Release Date: 10/12/2006
Release Year: 2006
Country/Region of Manufacture: GB
Genre: Science Nature & Math
Number of Pages: 124 Pages
Publication Name: Lectures on the Ricci Flow
Language: English
Publisher: Cambridge University Press
Publication Year: 2006
Item Height: 0.3 in
Subject: Geometry / Differential, Topology
Item Weight: 6.7 Oz
Type: Textbook
Subject Area: Mathematics
Author: Peter Topping
Item Length: 9.1 in
Series: London Mathematical Society Lecture Note Ser.
Item Width: 6 in
Format: Perfect
