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The Global Theory of Minimal Surfaces in Flat Spaces

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

  • Book
  • © 2002

Overview

Authors:
  1. William H. Meeks III
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  2. Antonio Ros
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  3. Harold Rosenberg
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1775)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-X
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  2. Minimal surfaces in Flat Three-Dimensional Spaces

    • William H. Meeks III
    Pages 1-14

  3. Properly embedded minimal surfaces with finite total curvature

    • Joaquín Pérez, Antonio Ros
    Pages 15-66

  4. Bryant Surfaces

    • Harold Rosenberg
    Pages 67-111

  5. Back Matter

    Pages 113-117
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Keywords

About this book

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.

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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