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Harmonic Maps Between Surfaces

(With a Special Chapter on Conformal Mappings)

  • Book
  • © 1984

Overview

Authors:
  1. Jürgen Jost
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1062)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction

    • Jürgen Jost
    Pages 1-12

  3. Geometric considerations

    • Jürgen Jost
    Pages 12-18

  4. Conformal mappings

    • Jürgen Jost
    Pages 18-38

  5. Existence theorems for harmonic maps between surfaces

    • Jürgen Jost
    Pages 38-53

  6. Uniqueness theorems

    • Jürgen Jost
    Pages 54-65

  7. A-priori C1,α-estimates

    • Jürgen Jost
    Pages 65-77

  8. A-priori estimates from below for the functional determinant of harmonic diffeomorphisms

    • Jürgen Jost
    Pages 77-86

  9. The existence of harmonic diffeomorphisms which solve a Dirichlet problem

    • Jürgen Jost
    Pages 86-90

  10. C1, α - a priori estimates for arbitrary domains. Non-variational existence proofs

    • Jürgen Jost
    Pages 90-98

  11. Harmonic coordinates. C2, α - a - priori estimates for harmonic maps

    • Jürgen Jost
    Pages 98-105

  12. The existence of harmonic diffeomorphisms between surfaces

    • Jürgen Jost
    Pages 106-112

  13. Applications of harmonic maps between surfaces

    • Jürgen Jost
    Pages 112-126

  14. Back Matter

    Pages 127-133
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Keywords

Bibliographic Information

  • Book Title: Harmonic Maps Between Surfaces

  • Book Subtitle: (With a Special Chapter on Conformal Mappings)

  • Authors: Jürgen Jost

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0100160

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1984

  • Softcover ISBN: 978-3-540-13339-1Published: 01 May 1984

  • eBook ISBN: 978-3-540-38868-5Published: 08 December 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 140

  • Topics: Analysis, Differential Geometry

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