Hyperbolic Lambert Quadrilaterals and Quasiconformal Mappings

Details Hyperbolic Lambert Quadrilaterals and Quasiconformal Mappings Hyperbolic Lambert Quadrilaterals and Quasiconformal Mappings

2012-03-29

arxiv.org/abs/1203.6494v2

Mathematics

Metric Geometry

21 pages, 7 figures

Scientific paper

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

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