Extremal Decompositions of Riemann Surfaces and Quasiconformal Mappings of Special Form. II期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Extremal Decompositions of Riemann Surfaces and Quasiconformal Mappings of Special Form. II

Authors:	E G Emelyanov

Institution:	(1) St.Petersburg University for Economics and Finances, Russia

Abstract:	Let $\Re$ be a finite Riemann surface. For a quadratic differential on $\Re$ associated with a certain problem on extremal decomposition of $\Re$ into n domains, a parametric family of quasiconformal mappings $f_{\text{K}} :\Re \to \Re _{\text{K}} ,K = (k_1 ,...{\text{ }},k_s ),k_i \in \mathbb{C}$ , is defined. These mappings map the domains of the extremal decomposition of $\Re$ onto the domains of the extremal decomposition of $\Re$ ._K This allows one to study the functional dependence of the problem on the parameters. Bibliography: 6 titles.

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