Softcover ISBN:  9780821833612 
Product Code:  CONM/367 
235 pp 
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MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Electronic ISBN:  9780821879573 
Product Code:  CONM/367.E 
235 pp 
List Price:  $80.00 
MAA Member Price:  $72.00 
AMS Member Price:  $64.00 

Book DetailsContemporary MathematicsVolume: 367; 2005MSC: Primary 53; 35; 57; 58;
The Workshop on Geometric Evolution Equations was a gathering of experts that produced this comprehensive collection of articles. Many of the papers relate to the Ricci flow and Hamilton's program for understanding the geometry and topology of 3manifolds.
The use of evolution equations in geometry can lead to remarkable results. Of particular interest is the potential solution of Thurston's Geometrization Conjecture and the Poincaré Conjecture. Yet applying the method poses serious technical problems. Contributors to this volume explain some of these issues and demonstrate a noteworthy deftness in the handling of technical areas.
Various topics in geometric evolution equations and related fields are presented. Among other topics covered are minimal surface equations, mean curvature flow, harmonic map flow, Calabi flow, Ricci flow (including a numerical study), KählerRicci flow, function theory on Kähler manifolds, flows of plane curves, convexity estimates, and the ChristoffelMinkowski problem.
The material is suitable for graduate students and researchers interested in geometric analysis and connections to topology.
Related titles of interest include The Ricci Flow: An Introduction.ReadershipGraduate students and research mathematicians interested in geometric analysis and connections to topology.

Table of Contents

Articles

Sigurd Angenent and Joost Hulshof  Singularities at $t=\infty $ in equivariant harmonic map flow [ MR 2112627 ]

ShuCheng Chang  Recent developments on the Calabi flow [ MR 2112628 ]

Albert Chau  Stability of the KählerRicci flow at complete noncompact Kähler Einstein metrics [ MR 2112629 ]

Bennett Chow  A survey of Hamilton’s program for the Ricci flow on 3manifolds [ MR 2112630 ]

SunChin Chu  Basic properties of gradient Ricci solitons [ MR 2112631 ]

David Garfinkle and James Isenberg  Numerical studies of the behavior of Ricci flow [ MR 2115754 ]

Pengfei Guan and XiNan Ma  Convex solutions of fully nonlinear elliptic equations in classical differential geometry [ MR 2115755 ]

Robert Gulliver  Density estimates for minimal surfaces and surfaces flowing by mean curvature [ MR 2115756 ]

Dan Knopf  An introduction to the Ricci flow neckpinch [ MR 2115757 ]

Lei Ni  Monotonicity and KählerRicci flow [ MR 2115758 ]

Miles Simon  Deforming Lipschitz metrics into smooth metrics while keeping their curvature operator nonnegative [ MR 2115759 ]

LuenFai Tam  Liouville properties on Kähler manifolds [ MR 2115760 ]

DongHo Tsai  Expanding embedded plane curves [ MR 2115761 ]

MuTao Wang  Remarks on a class of solutions to the minimal surface system [ MR 2115762 ]


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The Workshop on Geometric Evolution Equations was a gathering of experts that produced this comprehensive collection of articles. Many of the papers relate to the Ricci flow and Hamilton's program for understanding the geometry and topology of 3manifolds.
The use of evolution equations in geometry can lead to remarkable results. Of particular interest is the potential solution of Thurston's Geometrization Conjecture and the Poincaré Conjecture. Yet applying the method poses serious technical problems. Contributors to this volume explain some of these issues and demonstrate a noteworthy deftness in the handling of technical areas.
Various topics in geometric evolution equations and related fields are presented. Among other topics covered are minimal surface equations, mean curvature flow, harmonic map flow, Calabi flow, Ricci flow (including a numerical study), KählerRicci flow, function theory on Kähler manifolds, flows of plane curves, convexity estimates, and the ChristoffelMinkowski problem.
The material is suitable for graduate students and researchers interested in geometric analysis and connections to topology.
Related titles of interest include The Ricci Flow: An Introduction.
Graduate students and research mathematicians interested in geometric analysis and connections to topology.

Articles

Sigurd Angenent and Joost Hulshof  Singularities at $t=\infty $ in equivariant harmonic map flow [ MR 2112627 ]

ShuCheng Chang  Recent developments on the Calabi flow [ MR 2112628 ]

Albert Chau  Stability of the KählerRicci flow at complete noncompact Kähler Einstein metrics [ MR 2112629 ]

Bennett Chow  A survey of Hamilton’s program for the Ricci flow on 3manifolds [ MR 2112630 ]

SunChin Chu  Basic properties of gradient Ricci solitons [ MR 2112631 ]

David Garfinkle and James Isenberg  Numerical studies of the behavior of Ricci flow [ MR 2115754 ]

Pengfei Guan and XiNan Ma  Convex solutions of fully nonlinear elliptic equations in classical differential geometry [ MR 2115755 ]

Robert Gulliver  Density estimates for minimal surfaces and surfaces flowing by mean curvature [ MR 2115756 ]

Dan Knopf  An introduction to the Ricci flow neckpinch [ MR 2115757 ]

Lei Ni  Monotonicity and KählerRicci flow [ MR 2115758 ]

Miles Simon  Deforming Lipschitz metrics into smooth metrics while keeping their curvature operator nonnegative [ MR 2115759 ]

LuenFai Tam  Liouville properties on Kähler manifolds [ MR 2115760 ]

DongHo Tsai  Expanding embedded plane curves [ MR 2115761 ]

MuTao Wang  Remarks on a class of solutions to the minimal surface system [ MR 2115762 ]