## Duke Mathematical Journal

### On the deformation theory of classical Schottky groups

Robert Brooks

#### Article information

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

Dates
First available in Project Euclid: 20 February 2004

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

#### 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.

#### 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.