Non-properly Embedded H-Planes in Hyperbolic 3-Space

Abstract

For any H in [0,1), we construct complete, non-proper, stable, simply-connected surfaces with constant mean curvature H embedded in hyperbolic 3-space.

18 pages, 6 figures

References in corpus (2)

• Least Area Planes in Hyperbolic 3-Space are Properly Embedded
• Non-proper complete minimal surfaces embedded in H^2 x R

Cited by in corpus (1)

• Asymptotic H-Plateau Problem in Hyperbolic 3-space