Quasi-variance of the modulus of homotopical classes of curves and Teichmuller’s problem

Results are obtained on the quasiconformal distortion of the modulus of one and several classes of punctiform curves on the plane. The relationship to Teichmuller's problem for a quadruple of points and the homotopic properties of extremal mappings are studied. In particular, the variation...

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Bibliographic Details
Date:1991
Main Authors: Vasiliev , A. Yu., Васильев , А. Ю.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1991
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9611
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal