This article is cited in 4 papers

On the theory of extremal quasiconformal mappings

V. G. Sheretov


Abstract: In this work criteria are established for the extremality of both quasiconformal deformations of open Riemann surfaces of hyperbolic type and Kleinian groups of the mappings in homotopy classes modulo ideal boundaries. The existence of generalized harmonic quasiconformal mappings in these classes is shown.
Bibliography: 17 titles.

UDC: 517.54

MSC: Primary 30C70, 30C60; Secondary 30F40, 30F25

Received: 06.10.1977

 English version: Mathematics of the USSR-Sbornik, 1979, 35:3, 437–447

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