双曲度量的球稠密性与一致完备性
Spherical density of hyperbolic metric and uniform perfectness
摘要：
当复平面上的双曲域的双曲密度与到其边界的距离函数的乘积有一个正的下界时，该双曲域具有一致理想边界。我们将这一特征推广到黎曼球面上的双曲域的球面度量。
英文摘要：
It is well known that a hyperbolic domain in the complex plane has uniformly perfect boundary precisely when the product of its hyperbolic density and the distance function to its boundary has a positive lower bound. We extend this characterization to a hyperbolic domain in the Riemann sphere in terms of the spherical metric.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
