Author | Jost, Jรผrgen. author |
---|---|

Title | Compact Riemann Surfaces [electronic resource] : An Introduction to Contemporary Mathematics / by Jรผrgen Jost |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997 |

Connect to | http://dx.doi.org/10.1007/978-3-662-03446-0 |

Descript | XIV, 295 p. online resource |

SUMMARY

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 Teichmรผller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps

CONTENT

1. Topological Foundations -- 2. Differential Geometry of Riemann Surfaces -- 3. Harmonic Maps -- 4. Teichmรผller Spaces -- 5. Geometric Structures on Riemann Surfaces -- Sources and References -- Index of Notation

Mathematics
Differential geometry
Mathematics
Differential Geometry