Skip to main content
SpringerLink
Log in
Book cover

Quasiregular Mappings

  • Book
  • © 1993

Overview

Authors:
  1. Seppo Rickman

    1. Department of Mathematics, University of Helsinki, Helsinki, Finland

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Introduction

    • Seppo Rickman
    Pages 1-3

  3. Basic Properties of Quasiregular Mappings

    • Seppo Rickman
    Pages 4-23

  4. Inequalities for Moduli of Path Families

    • Seppo Rickman
    Pages 24-58

  5. Applications of Modulus Inequalities

    • Seppo Rickman
    Pages 59-77

  6. Mappings into the n-Sphere with Punctures

    • Seppo Rickman
    Pages 78-93

  7. Value Distribution

    • Seppo Rickman
    Pages 94-128

  8. Variational Integrals and Quasiregular Mappings

    • Seppo Rickman
    Pages 129-161

  9. Boundary Behavior

    • Seppo Rickman
    Pages 162-197

  10. Back Matter

    Pages 198-213
    Download chapter PDF
Back to top

Keywords

About this book

Quasiregular Mappings extend quasiconformal theory to the noninjective case.They give a natural and beautiful generalization of the geometric aspects ofthe theory of analytic functions of one complex variable to Euclidean n-space or, more generally, to Riemannian n-manifolds. This book is a self-contained exposition of the subject. A braod spectrum of results of both analytic and geometric character are presented, and the methods vary accordingly. The main tools are the variational integral method and the extremal length method, both of which are thoroughly developed here. Reshetnyak's basic theorem on discreteness and openness is used from the beginning, but the proof by means of variational integrals is postponed until near the end. Thus, the method of extremal length is being used at an early stage and leads, among other things, to geometric proofs of Picard-type theorems and a defect relation, which are some of the high points of the present book.

Authors and Affiliations

  • Department of Mathematics, University of Helsinki, Helsinki, Finland

    Seppo Rickman

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation