Ptolemy constant and uniformity



: Harmaala Eero, Klen Riku

Publisher: KOSSUTH LAJOS TUDOMANYEGYETEM

: 2021

: Publicationes Mathematicae Debrecen

: PUBLICATIONES MATHEMATICAE-DEBRECEN

: PUBL MATH-DEBRECEN

: 98

: 1-2

: 15

: 42

: 28

: 0033-3883

: 2064 - 2849

DOI: https://doi.org/10.5486/PMD.2021.8746

: https://arxiv.org/abs/1604.05367


We study the Ptolemy constant and the uniformity constant in various plane domains including triangles, quadrilaterals and ellipses. To obtain our results, we use Mobius transformations and the quasihyperbolic metric.



Last updated on 2024-26-11 at 15:20