The Global Theory of Minimal Surfaces in Flat Spaces: Lectures given at the 2nd Session of the Centro Internazionale Matematico...

The Global Theory of Minimal Surfaces in Flat Spaces: Lectures given at the 2nd Session of the Centro Internazionale Matematico...
ISBN-10
3540456090
ISBN-13
9783540456094
Category
Mathematics
Pages
124
Language
English
Published
2004-10-11
Publisher
Springer
Authors
W.H. III Meeks, A. Ros, H. Rosenberg

Description

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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