Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Three rigidity criteria for ${\text {PSL}}\left ( {2,{\mathbf {R}}} \right )$
HTML articles powered by AMS MathViewer

by Christopher Bishop and Tim Steger PDF
Bull. Amer. Math. Soc. 24 (1991), 117-123
References
  • Stephen Agard, Mostow rigidity on the line: a survey, Holomorphic functions and moduli, Vol. II (Berkeley, CA, 1986) Math. Sci. Res. Inst. Publ., vol. 11, Springer, New York, 1988, pp. 1–12. MR 955828, DOI 10.1007/978-1-4613-9611-6_{1}
  • Lars V. Ahlfors, Lectures on quasiconformal mappings, The Wadsworth & Brooks/Cole Mathematics Series, Wadsworth & Brooks/Cole Advanced Books & Software, Monterey, CA, 1987. With the assistance of Clifford J. Earle, Jr.; Reprint of the 1966 original. MR 883205
  • Christopher Bishop and Tim Steger, Representation-theoretic rigidity in $\textrm {PSL}(2,\textbf {R})$, Acta Math. 170 (1993), no. 1, 121–149. MR 1208564, DOI 10.1007/BF02392456
  • [C-S] M. Cowling and T. Steger, Irreducibility of restrictions of unitary representations to lattices, in preparation.
  • Frederick P. Gardiner, Teichmüller theory and quadratic differentials, Pure and Applied Mathematics (New York), John Wiley & Sons, Inc., New York, 1987. A Wiley-Interscience Publication. MR 903027
  • Frederick M. Goodman, Pierre de la Harpe, and Vaughan F. R. Jones, Coxeter graphs and towers of algebras, Mathematical Sciences Research Institute Publications, vol. 14, Springer-Verlag, New York, 1989. MR 999799, DOI 10.1007/978-1-4613-9641-3
  • Anthony W. Knapp, Representation theory of semisimple groups, Princeton Mathematical Series, vol. 36, Princeton University Press, Princeton, NJ, 1986. An overview based on examples. MR 855239, DOI 10.1515/9781400883974
  • Olli Lehto, Univalent functions and Teichmüller spaces, Graduate Texts in Mathematics, vol. 109, Springer-Verlag, New York, 1987. MR 867407, DOI 10.1007/978-1-4613-8652-0
  • [Ma] G. A. Margulis, Discrete groups of motions of manifolds of non-positive curvature, Trans. Amer. Math. Soc. 109 (1977), 33-45.
  • G. D. Mostow, Quasi-conformal mappings in $n$-space and the rigidity of hyperbolic space forms, Inst. Hautes Études Sci. Publ. Math. 34 (1968), 53–104. MR 236383, DOI 10.1007/BF02684590
  • G. D. Mostow, Strong rigidity of locally symmetric spaces, Annals of Mathematics Studies, No. 78, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1973. MR 0385004
  • Subhashis Nag, The complex analytic theory of Teichmüller spaces, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, Inc., New York, 1988. A Wiley-Interscience Publication. MR 927291
  • Gopal Prasad, Strong rigidity of $\textbf {Q}$-rank $1$ lattices, Invent. Math. 21 (1973), 255–286. MR 385005, DOI 10.1007/BF01418789
  • Atle 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. MR 0130324
Similar Articles
  • Retrieve articles in Bulletin of the American Mathematical Society with MSC (1985): 22E40, 22E45
  • Retrieve articles in all journals with MSC (1985): 22E40, 22E45
Additional Information
  • Journal: Bull. Amer. Math. Soc. 24 (1991), 117-123
  • MSC (1985): Primary 22E40, 22E45
  • DOI: https://doi.org/10.1090/S0273-0979-1991-15964-1
  • MathSciNet review: 1065010