The adjacent sides of hyperbolic Lambert quadrilaterals
type: Item
instance of: scholarly article
title: The adjacent sides of hyperbolic Lambert quadrilaterals
zbMATH Open document ID: 1415.51022
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2019-01-31T00:00:00Z
full work available at URL: https://arxiv.org/abs/1403.6988
review text: A Lambert quadrilateral $OABC$ in the real hyperbolic plane is a quadrilateral for which the angles $\widehat{AOB}$, $\widehat{OAC}$, and $\widehat{OBC}$ are all right. The author provides a sharp upper bound (in terms of $\mathrm{th}(OC)$) for $AC\cdot BC$, and both sharp lower and upper bounds in terms (in terms of $\mathrm{th}(OC)$) for $AC + BC$. He also proves some results regarding the Hölder convexity of the inverse hyperbolic sine function.
reviewed by: Victor V. Pambuccian
Mathematics Subject Classification ID: 51M09
Mathematics Subject Classification ID: 26D07
zbMATH DE Number: 7008717
zbMATH Keywords: hyperbolic Lambert quadrilateral
zbMATH Keywords: hyperbolic metric
zbMATH Keywords: Hölder mean
author: Gendi Wang
MaRDI profile type: Publication
OpenAlex ID: W1585146582
arXiv ID: 1403.6988
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DOI: 10.1007/S40840-016-0439-7
description: scientific article