Abstract
For any $H \in [0, 1)$, we construct complete, non-proper, stable, simply-connected surfaces with constant mean curvature $H$ embedded in hyperbolic three-space.
Funding Statement
The first author is partially supported by TUBITAK 2219 Grant, Fulbright Grant, BAGEP award of the Science Academy and by a Royal Society Newton Mobility Grant.
The second author was supported in part by NSF Grant DMS-1309236. Any opinions, findings, and conclusions or recommendations expressed in this publication are those of the authors and do not necessarily reflect the views of the NSF.
The third author was partially supported by EPSRC grant no. EP/M024512/1 and by a Royal Society Newton mobility Grant.
Citation
Baris Coskunuzer. William H. Meeks. Giuseppe Tinaglia. "Non-properly embedded $H$-planes in $\mathbb{H}^3$." J. Differential Geom. 105 (3) 405 - 425, March 2017. https://doi.org/10.4310/jdg/1488503003
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