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Book Review
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Book Information
Title:
Hyperbolic geometry from a local viewpoint
Additional book information:
Linda Keen and Nikola Lakic,
London Mathematical Society Student Texts 68, Cambridge University Press,
2007,
x+271 pp.,
(hardback)
US $121.00,
ISBN 978-0-521-86360-5
References:
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- 1.
- L. V. Ahlfors.
Conformal Invariants: Topics in Geometric Function Theory.
McGraw-Hill, New York, 1973. MR 0357743 (50:10211) - 2.
- A. Beardon.
The Geometry of Discrete Groups.
Graduate Texts in Mathematics. Springer-Verlag, New York, Berlin, 1983. MR 698777 (85d:22026) - 3.
- A. Beardon, T. Carne, D. Minda, and P. Ng.
Random iteration of analytic maps.
Erg. Th. & Dyn. Sys., 24(3):659-675, 2004. MR 2060992 (2005b:37086) - 4.
- L. Bers.
Collected Works, Part II.
AMS, Providence, R. I., 2000. - 5.
- P. Buser.
The collar theorem and examples.
Manuscripta Math., 25:349-357, 1978. MR 509590 (80h:53046) - 6.
- F. P. Gardiner.
Teichmüller Theory and Quadratic Differentials.
John Wiley & Sons, New York, 1987. MR 903027 (88m:32044) - 7.
- F. P. Gardiner and N. Lakic.
Quasiconformal Teichmüller Theory.
AMS, Providence, Rhode Island, 2000. - 8.
- L. Keen.
Canonical polygons for finitely generated Fuchsian groups.
Acta Math., 115:1-16, 1966. MR 0183873 (32:1349) - 9.
- L. Keen.
Collars on Riemann surfaces.
Ann Math. Studies, 79:263-268, 1974. MR 0379833 (52:738) - 10.
- S. Kobayashi.
Hyperbolic Manifolds and Holomorpic Mappings.
Marcel Dekker, New York, 1970. MR 0277770 (43:3503) - 11.
- I. Kra.
The Carathéodory metric on abelian Teichmüller disks.
J. Analyse Math., 40:129-143, 1981. MR 659787 (83m:32027) - 12.
- B. Maskit.
Kleinian Groups.
Springer-Verlag, New York, 1987. - 13.
- K. Matsuzaki and M. Taniguchi.
Hyperbolic Manifolds and Kleinian Groups.
Oxford Mathematical Monographs, Oxford University Press, 1998. MR 1638795 (99g:30055) - 14.
- C. T. McMullen.
Complex Dynamics and Renormalization, volume 135 of Ann. of Math. Studies.
Princeton Univ. Press, 1996, 1994. MR 1312365 (96b:58097) - 15.
- J. Milnor.
Dynamics in One Complex Variable: Introductory Lectures.
Princeton Univ. Press, Princeton, N. J., 2006. MR 2193309 (2006g:37070) - 16.
- Z. Nehari.
Conformal Mapping.
Dover Publications, New York, 1975. MR 0377031 (51:13206) - 17.
- H. Poincaré.
Theory of Fuchsian Groups, Papers on Fuchsian Functions.
Springer-Verlag, 1985.
Additional Information:
Reviewer(s):
Frederick
P.
Gardiner
Affiliation:
Brooklyn College, CUNY, Bedford Avenue and Avenue H, Brooklyn, New York 11210
Email:
frederick.gardiner@gmail.com
Review Information:
Journal:
Bull. Amer. Math. Soc.
46
(2009),
363-368.
MSC
(2000):
Primary 32A10, 30F10, 30F45, 32H50
DOI:
10.1090/S0273-0979-08-01236-6
PII:
S 0273-0979(08)01236-6
Posted:
November 20, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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