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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 July 7-14, 1999

  • Authors
  • William H. Meeks III
  • Antonio Ros
  • Harold Rosenberg

Part of the Lecture Notes in Mathematics book series (LNM, volume 1775)

Table of contents

  1. Front Matter
    Pages I-X
  2. William H. Meeks III
    Pages 1-14
  3. Joaquín Pérez, Antonio Ros
    Pages 15-66
  4. Harold Rosenberg
    Pages 67-111
  5. Back Matter
    Pages 113-117

About this book

Introduction

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.

Keywords

Mean curvature Minimal surface curvature differential geometry global minimal surfaces

Bibliographic information

  • DOI https://doi.org/10.1007/b83168
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-43120-6
  • Online ISBN 978-3-540-45609-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site