Kleinian groups and uniformization in examples and problems. Transl. from the Russian by H. H. McFaden, ed. by Bernard Maskit. (English) Zbl 0579.30001

Krushkal’, S. L.; Apanasov, B. N.; Gusevskij, N. A.

Translations of Mathematical Monographs, 62. Providence, R.I.: American Mathematical Society (AMS). VII, 198 p. $ 66.00 (1986).

See the review of the Russian original (1981; Zbl 0485.30001).

MSC:

30-02	Research exposition (monographs, survey articles) pertaining to functions of a complex variable
30F40	Kleinian groups (aspects of compact Riemann surfaces and uniformization)
30F10	Compact Riemann surfaces and uniformization
32G15	Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
57M12	Low-dimensional topology of special (e.g., branched) coverings

Keywords:

quasiconformal deformations; Maskit’s theorem on planar covering; uniformization of Riemann surfaces and 3-manifolds by means of; Kleinian groups; Teichmüller spaces; branched coverings; fundamental sets; domains of discontinuity; limit sets; unsolved; problems