Hyperbolic Lambert Quadrilaterals and Quasiconformal Mappings



: Vuorinen M, Wang G

Publisher: SUOMALAINEN 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

DOI: https://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