Geometric Evolution Equations (Contemporary Mathematics): National Center For Theoretical Sciences Workshop On Geometric Evolution Equations, National ... Hsinchu, Taiwan, July 15-August 14, 2002 - Softcover

Chang, Shu-Cheng; NATIONAL CENTER FOR THEORETICAL SCIENCES

Softcover

ISBN 10: 0821833618 ISBN 13: 9780821833612

Publisher: American Mathematical Society, 2005

Synopsis

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 3-manifolds. 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 Poincare 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), Kahler-Ricci flow, function theory on Kahler manifolds, flows of plane curves, convexity estimates, and the Christoffel-Minkowski 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"".

Edition details

• Publisher: American Mathematical Society
• Publication date: 2005
• Language: English
• ISBN 10: 0821833618
• ISBN 13: 9780821833612
• Binding: Paperback
• Number of pages: 235
• Editor: Chow Bennett, Chu Sun-Chin, Lin Chang-Shou