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Compact Riemann Surfaces

An Introduction to Contemporary Mathematics

  • Jürgen Jost

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Pages 79-159
  3. Pages 161-186
  4. Back Matter
    Pages 267-281

About this book

Introduction

Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It can serve as an introduction to contemporary mathematics as a whole as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmüller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

Keywords

Riemann surfaces Riemann-Roch theorem Teichmüller theory differential geometry harmonic maps hyberbolic geometry hyperbolic geometry

Authors and affiliations

  • Jürgen Jost
    • 1
  1. 1.Max Planck Institute for Mathematics in the Sciences04103LeipzigGermany

Bibliographic information