TY - JOUR
AU - Chrontsios-Garitsis, Efstathios-Konstantinos
AU - Hinkkanen, Aimo
PY - 2024/04/16
Y2 - 2024/11/02
TI - A geometric property of quadrilaterals
JF - Annales Fennici Mathematici
JA - Ann. Fenn. Math.
VL - 49
IS - 1
SE - Articles
DO - 10.54330/afm.145026
UR - https://afm.journal.fi/article/view/145026
SP - 281–302
AB - <pre>Quadrilaterals in the complex plane play a significant part in the theory of planar quasiconformal mappings. Motivated by the geometric definition of quasiconformality, we prove that every quadrilateral with modulus in an interval \([1/K, K]\), where \(K>1\), contains a disk lying in its interior, of radius depending only on the internal distances between the pairs of opposite sides of the quadrilateral and on \(K\).</pre><p> </p>
ER -