论文标题
不对称膨胀保留双曲线凸度
Asymmetric expansion preserves hyperbolic convexity
论文作者
论文摘要
在较早的论文中，我们表明，在庞贝拉磁盘中设置的双曲线凸的径向膨胀有关它的内部任何点会导致双曲线凸组。在这项工作中，我们通过证明双曲线凸的不对称膨胀围绕其内部的任何点也导致双曲线凸集，从而概括了这一结果。
In an earlier paper we showed that the radial expansion of a hyperbolic convex set in the Poincaré disk about any point inside it results in a hyperbolic convex set. In this work, we generalize this result by showing that the asymmetric expansion of a hyperbolic convex set about any point inside it also results in a hyperbolic convex set.
