2003, ISBN: 9780511893759
ID: 9780511893759
Hamilton&apos s Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincare conjecture and Thurston&apos s geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman&apos 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&apos s entropy functionals is combined with a description of Cheeger-Gromov-Hamilton compactness of manifolds and flows to show how a &apos tangent&apos flow can be extracted from a singular Ricci flow. Finally, all these threads are pulled together to give a modern proof of Hamilton&apos s theorem that a closed three-dimensional manifold whichcarries a metric of positive Ricci curvature is a spherical space form. Lectures on the Ricci Flow: Hamilton&apos s Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincare conjecture and Thurston&apos s geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman&apos 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&apos s entropy functionals is combined with a description of Cheeger-Gromov-Hamilton compactness of manifolds and flows to show how a &apos tangent&apos flow can be extracted from a singular Ricci flow. Finally, all these threads are pulled together to give a modern proof of Hamilton&apos s theorem that a closed three-dimensional manifold whichcarries a metric of positive Ricci curvature is a spherical space form., Cambridge University Press
Rheinberg-Buch.de
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10, ISBN: 9780511893759
ID: 101159780511893759
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, iss 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. Applied, Mathematics, Lectures on the Ricci Flow~~ Topping, Peter~~Applied~~Mathematics~~9780511893759, en, Lectures on the Ricci Flow, Topping, Peter, 9780511893759, Cambridge University Press, 10/01/2006, , , , Cambridge University Press, 10/01/2006
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2006
ISBN: 9780511893759
ID: 17376784
Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincare 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. Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincare 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. eBooks, , Lectures On The Ricci Flow~~EBook~~9780511893759~~Peter Topping, , Lectures On The Ricci Flow, Peter Topping, 9780511893759, Cambridge University Press, 10/12/2006, , , , Cambridge University Press
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2003, ISBN: 9780511893759
ID: 126025232
Hamilton´s Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincare 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. Lectures on the Ricci Flow eBook eBooks>Fremdsprachige eBooks>Englische eBooks>Sach- & Fachthemen, Cambridge University Press
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2006, ISBN: 9780511893759
ID: 26709776
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Title: | Lectures on the Ricci Flow |
ISBN: | 9780511893759 |
Details of the book - Lectures on the Ricci Flow
EAN (ISBN-13): 9780511893759
Publishing year: 2006
Publisher: Cambridge University Press
Book in our database since 02.03.2007 22:51:18
Book found last time on 17.03.2016 18:54:52
ISBN/EAN: 9780511893759
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978-0-511-89375-9
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