On conformal moduli of polygonal quadrilaterals

V. N. Dubinin; M. Vuorinen

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On conformal moduli of polygonal quadrilaterals

V. N. Dubinin·M. Vuorinen

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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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V. N. Dubinin, M. Vuorinen. 2007-08-08. On conformal moduli of polygonal quadrilaterals. https://arxiv.org/abs/math/0701387

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