UID:
almahu_9947363292102882
Format:
XIV, 295 p.
,
online resource.
ISBN:
9783662034460
Series Statement:
Universitext,
Content:
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. The analytic approach is likewise new as it is based on the theory of harmonic maps.
Note:
1. Topological Foundations -- 2. Differential Geometry of Riemann Surfaces -- 3. Harmonic Maps -- 4. Teichmüller Spaces -- 5. Geometric Structures on Riemann Surfaces -- Sources and References -- Index of Notation.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540533344
Language:
English
DOI:
10.1007/978-3-662-03446-0
URL:
http://dx.doi.org/10.1007/978-3-662-03446-0