@misc{10481/82771,
year = {2022},
month = {8},
url = {https://hdl.handle.net/10481/82771},
abstract = {We prove that a properly embedded annular end of a surface in  H 2 ×R with constant mean curvature 0 < H≤ 1 / 2 0<H≤1/2 can not be contained in any horizontal slab. Moreover, we show that a properly embedded surface with constant mean curvature 0 < H ≤ 1 / 2 0<H≤1/2 contained in H2 × [ 0 , + ∞ ) H 2 ×[0,+∞) and with finite topology is necessarily a graph over a simply connected domain of H 2 H 2 . For the case H = 1 / 2 H=1/2, the graph is entire.},
organization = {IMAG - María de Maeztu grant CEX2020-001105-M/
AEI/10.13039/501100011033, MICINN grant PID2020-117868GB-I00},
organization = {Junta de Andalucía
grants A-FQM-139-UGR18 and P18-FR4049.},
publisher = {European Matematical Society},
title = {Slab theorem and halfspace theorem for constant mean curvature surfaces in H2 x R},
author = {Hauswirth, Laurent and Menezes, Ana and Rodríguez Pérez, María Magdalena},
}