Book Review
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MathSciNet review:
1567887
Full text of review:
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This review is available free of charge.
Book Information:
Author:
Werner Fenchel
Title:
Elementary geometry in hyperbolic space
Additional book information:
De Gruyter Studies in Mathematics, vol. 11, Walter de Gruyter, Berlin, New York, 1989, xi+225 pp., $69.95. ISBN 0-89925-493-4.
Lars V. Ahlfors, Möbius transformations in several dimensions, Ordway Professorship Lectures in Mathematics, University of Minnesota, School of Mathematics, Minneapolis, Minn., 1981. MR 725161
Alan F. Beardon, The geometry of discrete groups, Graduate Texts in Mathematics, vol. 91, Springer-Verlag, New York, 1983. MR 698777, DOI 10.1007/978-1-4612-1146-4
H. S. M. Coxeter, Inversive distance, Ann. Mat. Pura Appl. (4) 71 (1966), 73–83. MR 203568, DOI 10.1007/BF02413734
H. S. M. Coxeter, The inversive plane and hyperbolic space, Abh. Math. Sem. Univ. Hamburg 29 (1966), 217–242. MR 199777, DOI 10.1007/BF03016050
J. B. Wilker, Inversive geometry, The geometric vein, Springer, New York-Berlin, 1981, pp. 379–442. MR 661793
J. B. Wilker, Möbius transformations in dimension $n$, Period. Math. Hungar. 14 (1983), no. 1, 93–99. MR 697361, DOI 10.1007/BF02023586
- 1.
- Lars V. Ahlfors, Möbius transformations in several dimensions, Ordway Professorship Lectures in Mathematics, University of Minnesota, 1981. MR 0725161
- 2.
- Alan F. Beardon, The geometry of discrete groups, Graduate Texts in Math., vol. 91, Springer-Verlag, Berlin and New York, 1983. MR 698777
- 3.
- H. S. M. Coxeter, Inversive distance, Ann. Mat. Pura Appl. (4) 71 (1966), 73-83. MR 203568
- 4.
- H. S. M. Coxeter, The inversive plane and hyperbolic space, Abh. Math. Sem. Univ. Hamburg 29 (1966), 217-242. MR 199777
- 5.
- J. B. Wilker, Inversive geometry, The Geometric Vein (Coxeter Festschrift), Springer-Verlag, New York, 1981, pp. 379-442. MR 661793
- 6.
- J. B. Wilker, Möbius transformations in dimension n, Period. Math. Hungar. 14 (1983), 93-99. MR 697361
Review Information:
Reviewer:
J. B. Wilker
Journal:
Bull. Amer. Math. Soc.
23 (1990), 589-594
DOI:
https://doi.org/10.1090/S0273-0979-1990-15992-0