The classical theory of minimal and constant mean curvature surfaces with emphasis on uniqueness of examples of Euler, Delaunay, Scherk and Riemann

William Meeks

University of Massachusetts, Amherst

Brandeis University

Thursday, March 5, 2009

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall

Abstract:Part of the classical theory of minimal surfaces in three-dimensional Euclidean space deals with the asymptotic properties of complete embedded classical examples M. This theory then lends itself to obtain classification results of the surfaces subject to some geometric or topological constraint. For example, if M is simply-connected, then recent work of Colding-Minicozzi and of Meeks-Rosenberg demonstrates that the only examples are the plane and the helicoid. Very recently, Meeks and Tinaglia have extended this result to show that a complete, simply-connected, embedded surface of non-zero constant mean curvature M must be a sphere, thereby completing a more general classification question. My talk will be for a general audience and undergraduates should enjoy the computer graphics images and the history presented.

Home Web page: Alexandru I. Suciu Posted: October 24, 2008
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