Compact Riemann Surfaces

Front Cover
Springer, 1997 - Mathematics - 291 pages
"Although Riemann surfaces are a time-honoured subject, this book is novel in its broad perspective that systematically explores the connections 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 partial differential equations, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmuller theory. The analytic approach is likewise new, as it is based on the theory of harmonic maps."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

From inside the book

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Topological Foundations
1
Differential Geometry of Riemann Surfaces
19
Riemann Surfaces
53
Copyright

4 other sections not shown

Other editions - View all

Common terms and phrases

About the author (1997)

Jost-Max-Planck-Institute for Mathematics, Leipzig, Germany

Bibliographic information