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On conformal moduli of polygonal quadrilaterals

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Abstract

The change of conformal moduli of polygonal quadrilaterals under some geometric transformations is studied. We consider the motion of one vertex when the other vertices remain fixed, the rotation of sides, polarization, symmetrization, and averaging transformation of the quadrilaterals. Some open problems are formulated.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Far East Branch Russian Academy of Sciences, Vladivostok, Russia

    V. N. Dubinin & M. Vuorinen

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  1. V. N. Dubinin
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  2. M. Vuorinen
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Correspondence to V. N. Dubinin.

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Dubinin, V.N., Vuorinen, M. On conformal moduli of polygonal quadrilaterals. Isr. J. Math. 171, 111–125 (2009). https://doi.org/10.1007/s11856-009-0043-8

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  • DOI: https://doi.org/10.1007/s11856-009-0043-8

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