Elliptic and Parabolic Methods in Geometry

by Ben Chow (Editor), Robert Gulliver (Editor), Silvio Levy (Editor), John Sullivan (Editor)

Overview

This book documents the results of a workshop held at the Geometry Center (University of Minnesota, Minneapolis) and captures the excitement of the week.

Product Details

ISBN-13:	9781040187951
Publisher:	CRC Press
Publication date:	10/15/1996
Sold by:	Barnes & Noble
Format:	eBook
Pages:	216
File size:	4 MB

About the Author

Ben Chow, Robert Gulliver, Silvio Levy, John Sullivan

Table of Contents

Existence of Gradient Kähler-Ricci Solitons; Asymptotic Behavior of Solutions of ?u + K ( z ) e u = 0 in a Punctured Disc; Numerical Examples of Compact Surfaces of Constant Mean Curvature; Mean Curvature motion of nonparametric Hypersurfaces with contact angle Condition; Remarks on the Geometric Behavior of Harmonic maps between Surfaces; Estimates for the Biharmonic Energy on Unbounded Planar Domains, and the Existence of Surfaces of every genus that Minimize the Squared-Mean-Curvature Integral; Holomorphic Potentials, Symplectic Integrators and Cmc Surfaces; On Nematic Liquid Crystal Droplets; Singular Perturbations of Geometric variational Problems; Surface Motion Due to Crystalline Surface Energy Gradient Flows; The Asymptotic Behavior of Embedded Minimal Surfaces of Finite Total Curvature; The Minima of The p -Energy Functional

Editorial Reviews

A dozen papers selected from a May 1994 workshop in Minneapolis document the potential of using computers and computer graphics to study a wide range of open questions in geometry. Among the topics are numerical examples of compact surfaces of constant mean curvature, the geometric behavior of harmonic maps between surfaces, estimates for the biharmonic energy on unbounded planar domains and surfaces of every genus that minimize the squared- mean-curvature integral, and singular perturbations of geometric variational problems. No index. Annotation c. by Book News, Inc., Portland, Or.

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