Abstract
In this paper we obtain height estimates for compact, constant mean curvature vertical graphs in the homogeneous spaces \(\mathrm {Nil}_3\) and \({\widetilde{PSL}}_2({\mathbb {R}})\). As a straightforward consequence, we announce a structure-type result for complete graphs defined on relatively compact domains.
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The author wants to express his gratitude to the referee for helpful comments and observations.
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The author was partially supported by MICINN-FEDER Grant No. MTM2016-80313-P, Junta de Andalucía Grant No. FQM325 and FPI-MINECO Grant No. BES-2014-067663.
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Bueno, A. Height estimates for constant mean curvature graphs in \(\mathrm {Nil}_3\) and \({\widetilde{PSL_2}}({\mathbb {R}})\). Arch. Math. 112, 437–445 (2019). https://doi.org/10.1007/s00013-018-1286-6
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DOI: https://doi.org/10.1007/s00013-018-1286-6