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Geometrically finite groups of transformations of space. (English. Russian original) Zbl 0519.30038
Sib. Math. J. 23, 771-780 (1983); translation from Sib. Mat. Zh. 23, No. 6, 16-27 (1982).

MSC:
30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization)
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References:
[1] L. Greenberg, ?Fundamental polyhedra for Kleinian groups,? Ann. Math.,84, 433-442 (1966). · Zbl 0161.27405
[2] T. Jørgensen, ?Compact 3-manifolds of constant negative curvature fibering over the circle,? Ann. Math.,106, 61-72 (1977). · Zbl 0368.53025
[3] T. Jørgensen and A. Marden, ?Two doubly generated groups,? Q. J. Math.,30, 143-156 (1979). · Zbl 0414.30035
[4] A. Beardon and B. Maskit, ?Limit points of Kleinian groups and finite sided fundamental polyhedra,? Acta Math.,132, 1-12 (1974). · Zbl 0277.30017
[5] Chen Su-Shing, ?A theorem of Ahlfors for hyperbolic spaces,? Trans. Am. Math. Soc.,242, 401-406 (1978). · Zbl 0386.22009
[6] G. A. Hedlund, ?Fuchsian groups and transitive horocycles,? Duke Math. J.,2, 530-542 (1936). · JFM 62.0392.03
[7] B. N. Apanasov, ?On an analytic method in the theory of Kleinian groups of a multidimensional Euclidean space,? Dokl. Akad. Nauk SSSR,222, 11-14 (1975).
[8] B. N. Apanasov, ?Entire automorphic forms in Rn,? Sib. Mat. Zh.,19, 735-748 (1978).
[9] B. N. Apanasov, ?On Kleinian groups in space,? Sib. Mat. Zh.,16, 891-898 (1975).
[10] J. Wolf, Spaces of Constant Curvature, McGraw-Hill, New York (1967). · Zbl 0162.53304
[11] B. Maskit, ?On boundaries of Teichmüller spaces and on Kleinian groups. II,? Ann. Math.,91, 607-639 (1970). · Zbl 0197.06003
[12] B. N. Apanasov, ?Nontriviality of Teichmüller space for Kleinian groups in space,? in: Proceedings of the 1978 Stony Brook conference: Riemann Surfaces and Related Topics, Princeton Univ. Press, Princeton (1981), pp. 21-31.
[13] N. J. Wilenberg, ?Discrete Moebius groups: fundamental polyhedra and convergence,? Am. J. Math.,99, 861-877 (1977). · Zbl 0373.57024
[14] A. Marden, ?The geometry of finitely generated Kleinian groups,? Ann. Math.,99, 383-462 (1974). · Zbl 0282.30014
[15] B. N. Apanasov, ?On a class of Kleinian groups inR n,?, Dokl. Akad. Nauk SSSR,215, 509-510 (1974).
[16] L. V. Ahlfors, ?Fundamental polyhedrons and limit point sets of Kleinian groups,? Proc. Natl. Acad. Sci. USA,55, 251-254 (1966). · Zbl 0132.30801
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