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Book Review
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Book Information
Author(s):
Bernard Maskit
Title:
Kleinian groups
Additional book information:
Grundlehren der Mathematischen Wissenschaften, vol. 287, Springer-Verlag, Berlin, Heidelberg, New York, 1988, xiii + 326 pp., $77.50. ISBN 3-540-178746-9
References:
- 1.
- L. Ahlfors, Finitely generated Kleinian groups, Amer. J. Math. 86 (1964), 413-429. MR 167618
- 2.
- J. Cannon, D. Epstein, D. Holt, M. Patterson and W. Thurston, Word processing and group theory, preprint.
- 3.
- D. B. A. Epstein, Computers, groups, and hyperbolic geometry, Astérisque 163-164 (1988), 9-29. MR 999970
- 4.
- D. B. A. Epstein and A. Marden, Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, Proc. of the Warwick Symposium, Cambridge Univ. Press, 1986, pp. 113-236. MR 903852
- 5.
- R. Kulkarni and P. Shalen, On Ahlfors finiteness theorem, preprint. MR 1013665
- 6.
- K. McMullen, Iteration on Teichmüller space, preprint.
- 7.
- A. Marden, The geometry of finitely generated Kleinian groups, Ann. of Math. 99 (1974), 383-462. MR 349992
- 8.
- A. Marden, Geometrically finite Kleinian groups and their deformation spaces, in Discrete groups and automorphic functions (W. Harvey, ed. ), Academic Press, New York, 1977, pp. 259-293. MR 494117
- 9.
- S. J. Patterson, Measures on limit sets of Kleinian groups, in analytic and geometric aspects of hyperbolic space (D. B. A. Epstein, ed. ), London Math. Soc. Notes 111 (1987), 281-323. MR 903855
- 10.
- P. Scott, Finitely generated 3-manifold groups are finitely presented, J. London Math. Soc. 6 (1973), 437-440. MR 380763
- 11.
- W. P. Thurston, Three-dimensional manifolds, Kleinian groups, and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982), 357-381. MR 648524
- 12.
- W. P. Thurston, Hyperbolic structures on 3-manifolds I: Deformations of a cylindricalmanifold, Ann. of Math. 124 (1986), 203-246. MR 855294
- 13.
- P. Tukia, A rigidity theorem for Möbius groups, Invent. Math. (to appear). MR 1001847
Additional Information:
Reviewer(s):
Albert
Marden
Review Information:
Journal:
Bull. Amer. Math. Soc.
22
(1990),
310-315.
DOI:
10.1090/S0273-0979-1990-15895-1
PII:
S 0273-0979(1990)15895-1
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