Open Access
October 2015 On $H = 1/2$ surfaces in $\widetilde{\mathit {PSL}}_{2}(\mathbb {R}, \tau )$
Carlos Peñafiel
Osaka J. Math. 52(4): 947-959 (October 2015).


In this paper we prove that if $\Sigma$ is a properly embedded constant mean curvature $H = 1/2$ surface which is asymptotic to a horocylinder $C \subset \widetilde{\mathit{PSL}}_{2}(\mathbb{R}, \tau)$, in one side of $C$, such that the mean curvature vector of $\Sigma$ has the same direction as that of the $C$ at points of $\Sigma$ converging to $C$, then $\Sigma$ is a subset of $C$.


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Carlos Peñafiel. "On $H = 1/2$ surfaces in $\widetilde{\mathit {PSL}}_{2}(\mathbb {R}, \tau )$." Osaka J. Math. 52 (4) 947 - 959, October 2015.


Published: October 2015
First available in Project Euclid: 18 November 2015

zbMATH: 1336.53069
MathSciNet: MR3426623

Primary: 53A35
Secondary: 53A10

Rights: Copyright © 2015 Osaka University and Osaka City University, Departments of Mathematics

Vol.52 • No. 4 • October 2015
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