2006, ISBN: 9780511893759

eBooks, eBook Download (PDF), Auflage, Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincare co… More...

eBooks, eBook Download (PDF), Auflage, 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. [PU: Cambridge University Press], Cambridge University Press, 2006<

2003, ISBN: 9780511893759

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 … More...

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.; PDF; Scientific, Technical and Medical > Mathematics > Geometry, Cambridge University Press<

ISBN: 9780511893759

*Lectures on the Ricci Flow* / pdf eBook für 49.99 € / Aus dem Bereich: eBooks, Belletristik, Erzählungen Medien > Bücher nein eBook als pdf eBooks > Belletristik > Erzählungen, Cambridge… More...

*Lectures on the Ricci Flow* / pdf eBook für 49.99 € / Aus dem Bereich: eBooks, Belletristik, Erzählungen Medien > Bücher nein eBook als pdf eBooks > Belletristik > Erzählungen, Cambridge University Press<

ISBN: 9780511893759

Lectures on the Ricci Flow: ab 49.99 € eBooks > Belletristik > Erzählungen Cambridge University Press eBook als pdf, Cambridge University Press

2006, ISBN: 9780511893759

eBooks, eBook Download (PDF), Auflage, [PU: Cambridge University Press], [ED: 1], Cambridge University Press, 2006