IUMJ

Title: Least area planes in hyperbolic $3$-space are properly embedded

Authors: Baris Coskunuzer

Issue: Volume 58 (2009), Issue 1, 381-392

Abstract:

We show that if $\Sigma$ is an embedded least area (area minimizing) plane in $\mathbb{H}^3$ whose asymptotic boundary is a simple closed curve with at least one smooth point, then $\Sigma$ is properly embedded in $\mathbb{H}^3$.