Hyperbolic Lambert Quadrilaterals and Quasiconformal Mappings




Vuorinen M, Wang G

PublisherSUOMALAINEN TIEDEAKATEMIA

HELSINKI; MARIANKATU 5, 00170 HELSINKI, FINLAND

2013

Annales Academiae Scientiarum Fennicae. Mathematica

Annales Academiae Scientiarum Fennicae-Mathematica

Ann.Acad.Sci.Fenn.Ser.A1-Math.

2

38

2

433

453

21

1239-629X

DOIhttps://doi.org/10.5186/aasfm.2013.3845



We prove sharp bounds for the product and the sum of two hyperbolic distances between the opposite sides of hyperbolic Lambert quadrilaterals in the unit disk. Furthermore, we study the images of Lambert quadrilaterals under quasiconformal mappings from the unit disk onto itself and obtain sharp results in this case, too.



Last updated on 2024-26-11 at 12:37