Least Area Planes in Hyperbolic 3-Space are Properly Embedded

Details Least Area Planes in Hyperbolic 3-Space are Properly Embedded Least Area Planes in Hyperbolic 3-Space are Properly Embedded

2007-12-05

arxiv.org/abs/0712.0662v1

Indiana Univ. Math. J. 58 (2009) 379-390.

Mathematics

Geometric Topology

11 pages

Scientific paper

10.1512/iumj.2009.58.3447

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.

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