In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the classical problems were solved and new classes of minimal surfaces found.
Minimal surfaces are now studied from several different viewpoints using methods and techniques from analysis (real and complex), topology and geometry. In this lecture course, Meeks, Ros and Rosenberg, three of the main architects of the modern edifice, present some of the more recent methods and developments of the theory. The topics include moduli, asymptotic geometry and surfaces of constant mean curvature in the hyperbolic space.

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Bibliographic Information

Book Title: The Global Theory of Minimal Surfaces in Flat Spaces
Book Subtitle: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Martina Franca, Italy, June 7-14, 1999
Authors: William H. Meeks III, Antonio Ros, Harold Rosenberg
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b83168
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2002
Softcover ISBN: 978-3-540-43120-6Published: 25 March 2002
eBook ISBN: 978-3-540-45609-4Published: 11 October 2004
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 124
Topics: Differential Geometry

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Table of contents (3 chapters)

Front Matter

Minimal surfaces in Flat Three-Dimensional Spaces

Properly embedded minimal surfaces with finite total curvature

Bryant Surfaces

Back Matter

About this book