The adjacent sides of hyperbolic Lambert quadrilaterals
arXiv:1403.6988
Abstract
We prove sharp bounds for the product and the sum of the hyperbolic lengths of a pair of hyperbolic adjacent sides of hyperbolic Lambert quadrilaterals in the unit disk. We also show the Hölder convexity of the inverse hyperbolic sine function involved in the hyperbolic geometry.
12 pages, 3 figures. arXiv admin note: text overlap with arXiv:1203.6494