论文标题
两个轮廓的渐近高原问题
Asymptotic Plateau Problem for Two Contours
论文作者
论文摘要
对于两条隔离的恒星形状曲线（包括圆圈），在双曲线3空间的渐近边界中，如果这两个Jordan曲线之间的距离（请参见定义1.8）在上面的距离上以某种恒定的态度界定，那么存在一个最小的（或同等最小的面积）最小的面积（或同等的面积）最小的面积的最小化表面效果。本文的主要结果是定理1.7和定理1.11。
For two disjoint rectifiable star-shaped Jordan curves (including round circles) in the asymptotic boundary of hyperbolic 3-space, if the distance (see Definition 1.8) between these two Jordan curves are bounded from above by some constant, then there exists an annulus-type area minimizing (or equivalently least area) minimal surface asymptotic to these two Jordan curves. The main results of this paper are Theorem 1.7 and Theorem 1.11.
