Duke Mathematical Journal

On the deformation theory of classical Schottky groups

Robert Brooks

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Article information

Source
Duke Math. J. Volume 52, Number 4 (1985), 1009-1024.

Dates
First available in Project Euclid: 20 February 2004

Permanent link to this document
http://projecteuclid.org/euclid.dmj/1077304734

Digital Object Identifier
doi:10.1215/S0012-7094-85-05253-6

Mathematical Reviews number (MathSciNet)
MR816397

Zentralblatt MATH identifier
0587.58060

Subjects
Primary: 32G15: Moduli of Riemann surfaces, Teichmüller theory [See also 14H15, 30Fxx]
Secondary: 22E40: Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx] 52A45

Citation

Brooks, Robert. On the deformation theory of classical Schottky groups. Duke Math. J. 52 (1985), no. 4, 1009--1024. doi:10.1215/S0012-7094-85-05253-6. http://projecteuclid.org/euclid.dmj/1077304734.


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References

  • [1] L. Ahlfors and L. Bers, Riemann's mapping theorem for variable metrics, Ann. of Math. (2) 72 (1960), 385–404.
  • [2] R. Brooks, The spectral geometry of the Apollonian packing, Comm. Pure Appl. Math. 38 (1985), no. 4, 359–366.
  • [3] R. Phillips and P. Sarnak, The Laplacian for domains in hyperbolic space and limit sets of Kleinian groups, to appear in Acta Math.
  • [4] D. Sullivan, On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions, Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978), Ann. of Math. Stud., vol. 97, Princeton Univ. Press, Princeton, N.J., 1981, pp. 465–496.
  • [5] W. Thurston, The Geometry and Topology of $3$-Manifolds, to appear in Princeton Univ. Press.
  • [6] J. Vick, Homology theory, Academic Press, New York, 1973.