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Record Nr. |
UNINA9910823642103321 |
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Autore |
Keen Linda |
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Titolo |
Hyperbolic geometry from a local viewpoint / / Linda Keen and Nikola Lakic |
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Pubbl/distr/stampa |
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Cambridge, : Cambridge University Press, 2007 |
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ISBN |
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1-107-16900-3 |
1-280-81565-5 |
9786610815654 |
0-511-27476-9 |
0-511-27546-3 |
0-511-27321-5 |
0-511-32145-7 |
0-511-61878-6 |
0-511-27400-9 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (x, 271 pages) : digital, PDF file(s) |
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Collana |
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London Mathematical Society student texts ; ; 68 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Geometry, Hyperbolic |
Geometry, Non-Euclidean |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
14 Estimating hyperbolic densities15 Uniformly perfect domains; 16 Appendix: a brief survey of elliptic functions; Bibliography; Index |
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Sommario/riassunto |
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Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions |
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