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Hyperbolic geometry from a local viewpoint /
A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2007.
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| Colección: | London Mathematical Society student texts ;
68. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 Elementary transformations of the Euclidean plane and the Riemann sphere; 2 Hyperbolic metric in the unit disk; 3 Holomorphic functions; 4 Topology and uniformization; 5 Discontinuous groups; 6 Fuchsian groups; 7 The hyperbolic metric for arbitrary domains; 8 The Kobayashi metric; 9 The Carathéodory pseudo-metric; 10 Inclusion mappings and contraction properties; 11 Applications I: forward random holomorphic iteration; 12 Applications II: backward random iteration; 13 Applications III: limit functions.