Duke Mathematical Journal

Degenerations of the hyperbolic space

Mladen Bestvina
Source: Duke Math. J. Volume 56, Number 1 (1988), 143-161.
First Page: Show Hide
Primary Subjects: 57M99
Secondary Subjects: 20H10, 57M10
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077306456
Mathematical Reviews number (MathSciNet): MR932860
Zentralblatt MATH identifier: 0652.57009
Digital Object Identifier: doi:10.1215/S0012-7094-88-05607-4

References

[Be] A. F. Beardon, The geometry of discrete groups, Graduate Texts in Mathematics, vol. 91, Springer-Verlag, New York, 1983.
Mathematical Reviews (MathSciNet): MR85d:22026
Zentralblatt MATH: 0528.30001
[Bo] F. Bonahon, Bouts des variétés hyperboliques de dimension $3$, Ann. of Math. (2) 124 (1986), no. 1, 71–158.
Mathematical Reviews (MathSciNet): MR88c:57013
Zentralblatt MATH: 0671.57008
Digital Object Identifier: doi:10.2307/1971388
[C-M] M. Culler and J. W. Morgan, Group actions on $\mathbbR$-trees, MSRI preprint, 1985.
[C-S] M. Culler and P. B. Shalen, Varieties of group representations and splittings of $3$-manifolds, Ann. of Math. (2) 117 (1983), no. 1, 109–146.
Mathematical Reviews (MathSciNet): MR84k:57005
Zentralblatt MATH: 0529.57005
Digital Object Identifier: doi:10.2307/2006973
[Gr] M. Gromov, Groups of polynomial growth and expanding maps, Inst. Hautes Études Sci. Publ. Math. (1981), no. 53, 53–73.
Mathematical Reviews (MathSciNet): MR83b:53041
Zentralblatt MATH: 0474.20018
Digital Object Identifier: doi:10.1007/BF02698687
[Mo] G. D. Mostow, Strong rigidity of locally symmetric spaces, Annals of Mathematics Studies, vol. 78, Princeton University Press, Princeton, N.J., 1973.
Mathematical Reviews (MathSciNet): MR52:5874
Zentralblatt MATH: 0265.53039
[M] J. W. Morgan, Group actions on trees and the compactification of the spaces of classes of $\mathrmSO(n,1)$-representations, preprint.
Mathematical Reviews (MathSciNet): MR836721
Digital Object Identifier: doi:10.1016/0040-9383(86)90002-9
[MS1] J. W. Morgan and P. B. Shalen, Valuations, trees, and degenerations of hyperbolic structures. I, Ann. of Math. (2) 120 (1984), no. 3, 401–476.
Mathematical Reviews (MathSciNet): MR86f:57011
Zentralblatt MATH: 0583.57005
Digital Object Identifier: doi:10.2307/1971082
[MS2] J. W. Morgan and P. B. Shalen, Degenerations of hyperbolic structures II, preprint.
[P] F. Paulin, Topologies de Gromov équivariantes, structures hyperboliques et arbres réals, dissertation, Orsay, 1986.
[Se] A. Selberg, On discontinuous groups in higher-dimensional symmetric spaces, Contributions to function theory (internat. Colloq. Function Theory, Bombay, 1960), Tata Institute of Fundamental Research, Bombay, 1960, pp. 147–164.
Mathematical Reviews (MathSciNet): MR24:A188
Zentralblatt MATH: 0201.36603
[TH1] W. P. Thurston, Geometry and topology of $3$-manifolds, unpublished manuscript, Princeton, 1979.
[TH2] W. P. Thurston, Hyperbolic structures on $3$-manifolds. I. Deformation of acylindrical manifolds, Ann. of Math. (2) 124 (1986), no. 2, 203–246.
Mathematical Reviews (MathSciNet): MR88g:57014
Zentralblatt MATH: 0668.57015
Digital Object Identifier: doi:10.2307/1971277

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