Chargement en cours…
Hyperbolic geometry from a local viewpoint /
A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Autres auteurs: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Cambridge :
Cambridge University Press,
2007.
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| Collection: | London Mathematical Society student texts ;
68. |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- 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.