English

On conformal moduli of polygonal quadrilaterals

Complex Variables 2007-08-08 v2

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.

Keywords

Cite

@article{arxiv.math/0701387,
  title  = {On conformal moduli of polygonal quadrilaterals},
  author = {V. N. Dubinin and M. Vuorinen},
  journal= {arXiv preprint arXiv:math/0701387},
  year   = {2007}
}

Comments

7 figures

R2 v1 2026-07-22T17:49:19.647Z