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Three rigidity criteria for ${\text{PSL}}\left( {2,{\mathbf{R}}} \right)$
Author(s):
Christopher
Bishop;
Tim
Steger
Journal:
Bull. Amer. Math. Soc.
24
(1991),
117-123.
MSC (1985):
Primary 22E40, 22E45
MathSciNet review:
1065010
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References:
- [Ag] S. Agard, Mostow rigidity on the line: a survey, in Holomorphic functions and moduli II, Mathematical Sciences Research Institute publications, no. 11, Springer-Verlag, New York, pp. 1-12. MR 955828
- [Ah] L. V. Ahors, Lectures on quasiconformal mappings, Wadsworth and Brooks/Cole, Monterey, Cal., 1987. MR 883205
- [B-S] C. J. Bishop and T. Steger, Representation theoretic rigidity in PSL(2, R), preprint. MR 1208564
- [C-S] M. Cowling and T. Steger, Irreducibility of restrictions of unitary representations to lattices, in preparation.
- [Ga] F. P. Gardiner, Teichmüller theory and quadratic differentials, Wiley-Interscience, John Wiley and Sons, New York, 1987. MR 903027
- [G-H-J] F. Goodman, P. de la Harpe, and V. Jones, Coxeter graphs and towers of algebras, Mathematical Sciences Research Institute publications, no. 14, Springer-Verlag, New York, 1989. MR 999799
- [K] A. W. Knapp, Representation theory of semisimple groups, Princeton University Press, Princeton, N.J., 1986. MR 855239
- [L] O. Lehto, Univalent functions and Teichmüller space, GTM 109, Springer-Verlag, New York, 1987. MR 867407
- [Ma] G. A. Margulis, Discrete groups of motions of manifolds of non-positive curvature, Trans. Amer. Math. Soc. 109 (1977), 33-45.
- [M1] G. D. Mostow, Quasiconformal mappings in n-space and the rigidity of hyperbolic space forms, IHES Publ. 34 (1968), 53-104. MR 236383
- [M2] G. D. Mostow, Strong rigidity of locally symmetric spaces, Ann. Math. Stud., vol. 78, Princeton University Press, Princeton, N. J., 1973. MR 385004
- [N] S. Nag, Complex analytic theory of Teichmüller space, Wiley-Interscience, John Wiley and Sons, New York, 1988. MR 927291
- [P] G. Prasad, Strong rigidity of Q-rank 1 lattices, Invent. Math. 21 (1973), 255-286. MR 385005
- [S] A. Selberg, On discontinuous groups in higher-dimensional spaces, in Contributions to Function Theory, Tata Institute, Bombay, 1960. MR 130324
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Additional Information:
DOI:
10.1090/S0273-0979-1991-15964-1
PII:
S 0273-0979(1991)15964-1
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