paper

Least Area Planes in Hyperbolic 3-Space are Properly Embedded

arXiv:0712.0662 · doi:10.1512/iumj.2009.58.3447

Abstract

We show that if P is an embedded least area (area minimizing) plane in hyperbolic 3-space whose asymptotic boundary is a simple closed curve with at least one smooth point, then P is properly embedded.

11 pages

Least Area Planes in Hyperbolic 3-Space are Properly Embedded · wovepaper