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Lectures on the Ricci Flow

Jezik EngleskiEngleski
Knjiga Meki uvez
Knjiga Lectures on the Ricci Flow Peter Topping
Libristo kod: 02040589
Nakladnici Cambridge University Press, listopad 2006
Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing par... Cijeli opis
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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.

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Informacije o knjizi

Puni naziv Lectures on the Ricci Flow
Jezik Engleski
Uvez Knjiga - Meki uvez
Datum izdanja 2006
Broj stranica 124
EAN 9780521689472
ISBN 0521689473
Libristo kod 02040589
Težina 189
Dimenzije 153 x 230 x 7
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