The Adjacent Sides of Hyperbolic Lambert Quadrilaterals
The Adjacent Sides of Hyperbolic Lambert Quadrilaterals
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DOI：
10.1007/s40840-016-0439-7
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发表时间：
2014-03
影响因子：
1.2
通讯作者：
Gendi Wang
中科院分区：
文献类型：
--
作者：
Gendi Wang
我们证明了单位圆盘中双曲朗伯四边形的一对双曲相邻边的双曲长度的乘积和总和的锐界。我们还展示了双曲几何中涉及的反双曲正弦函数的霍尔德凸性。
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.