Surveys in Differential Geometry

Huai-Dong Cao, Shing-Tung Yau (Herausgeber)

Buch | Hardcover

356 Seiten

2008
International Press of Boston Inc (Verlag)
978-1-57146-118-6 (ISBN)

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Geometric flows are non-linear parabolic differential equations which describe the evolution of geometric structures. This book examines developments on a number of geometric flows and related subjects, such as Hamilton's Ricci flow, formation of singularities in the mean curvature flow, the Kahler-Ricci flow, and Yau's uniformization conjecture.

This twelfth volume of the annual "Surveys in Differential Geometry" examines recent developments on a number of geometric flows and related subjects, such as Hamilton's Ricci flow, formation of singularities in the mean curvature flow, the Kahler-Ricci flow, and Yau's uniformization conjecture.Geometric flows are non-linear parabolic differential equations which describe the evolution of geometric structures. Inspired by Hamilton's Ricci flow, the field of geometric flows has seen tremendous progress in the past 25 years and yields important applications to geometry, topology, physics, nonlinear analysis, and so on. Of course, the most spectacular development is Hamilton's theory of Ricci flow and its application to three-manifold topology, including the Hamilton-Perelman proof of the Poincare conjecture.

Erscheint lt. Verlag	15.11.2008
Zusatzinfo	Illustrations
Verlagsort	Somerville
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-57146-118-3 / 1571461183
ISBN-13	978-1-57146-118-6 / 9781571461186
Zustand	Neuware