Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 281-302 |
| Number of pages | 22 |
| Journal | Annales Fennici Mathematici |
| Volume | 49 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2024 |
Keywords
- interior distances
- Jordan domains
- quadrilaterals
- quasiconformal mappings
ASJC Scopus subject areas
- General Mathematics