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References
- 1
- K. Astala and G. J. Martin Holomorphic
motions, preprint 1994
- 2
- L. Bers, On boundaries of Teichmüller spaces
and on kleinian groups: I, Ann. of Math. 91 (1970) 570-600.
- 3
- L. Bers, Spaces of Kleinian groups, Springer
Lecture Notes 155 (1970) 9-34.
- 4
- S. S. Chen and L. Greenberg, Hyperbolic Spaces, in
Contributions to Analysis (A collection of papers dedicated to Lipman
Bers), ed. L. V. Ahlfors et al., Academic Press, New York, 1974, pp.
49-87.
- 5
- K. Corlette, Hausdorff dimension of limit sets I,
Invent. math. 102 (1990) 521-542.
- 6
- C. J. Earle, I. Kra and S. L. Krushkal',
Holomorphic motions and Teichmüller spaces, Trans. Amer.
Math. Soc. 343 (1994) 927-948.
- 7
- W. M. Goldman, Introduction to Complex Hyperbolic
Geometry, Oxford University Press, to appear.
- 8
- W. M. Goldman and J. Parker, Complex hyperbolic
ideal triangle groups, J. Reine Angew. Math., 425 (1992)
71-86.
- 9
- W. M. Goldman and J. Parker, Dirichlet Polyhedra
for Dihedral Groups Acting on Complex Hyperbolic Space, J. of Geom.
Analysis, 2 (1992) 517-554.
- 10
- V. Guillemin and S. Sternberg, Symplectic
Techniques in Physics, Cambridge University Press, 1984.
- 11
- J. Heinonen and P. Koskela, Definitions of
quasiconformality, Invent. math. 120 (1995) 61-79.
- 12
- T. Jørgensen, On discrete groups of Möbius
transformations, Amer. J. Math. 98 (1976) 739-749.
- 13
- A. Korányi and H. M. Reimann, Quasiconformal
mappings on the Heisenberg group, Invent. math. 80 (1985)
309-338.
- 14
- A. Korányi and H. M. Reimann, Contact
transformations as limits of symplectomorphisms, C. R. Acad. Sci.
Paris 318, série I (1994) 1119-1124.
- 15
- A. Korányi and H. M. Reimann, Foundations for
the theory of quasiconformal mappings on the Heisenberg group,
Adv. in Math. 111 (1995) 1-87.
- 16
- G. Martin, On discrete Mobius groups in all
dimensions: a generalization of Jorgensen's inequality, Acta
Math. 163, (1989) 253-289.
- 17
- B. Maskit, Kleinian Groups, Grundlehren der
math. Wiss. 287, Springer-Verlag, 1988.
- 18
- J. Mitchell, On Carnot-Carathéodory metrics,
J. Diff. Geom. 21 (1985) 35-45.
- 19
- G. D. Mostow, Strong Rigidity of Locally
Symmetric Spaces, Ann. of Math. Studies, vol. 78, Princeton
Univ. Press, Princeton, N.J., 1973.
- 20
- P. Pansu, Métriques de Carnot-Carathéodory
et quasiisométries des espaces symétriques de rang un, Ann. of
Math. 129 (1989) 1-60.
- 21
- J. G. Ratcliffe, Foundations of Hyperbolic
Manifolds, Graduate Texts in Math. 149, Springer-Verlag, 1994.
- 22
- J. Väisälä, Lectures on n-Dimensional
Quasiconformal Mappings, Lecture Notes in Math. 229,
Springer-Verlag, 1971.
Robert Miner
Wed Jan 22 10:50:29 CST 1997