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math.DG2008★ 2 cited
Vertical Ends of Constant Mean Curvature H=1/2 in H^2\times R
Barbara Nelli, Ricardo Sa Earp
We prove a vertical halfspace theorem for surfaces with constant mean curvature properly immersed in the product space $\h^2\times\re,$ where $\h^2$ is the hyperbolic pl…
math.DG2007
Uniqueness of H-surfaces in H^2xR, |H| <= 1/2, with boundary one or two parallel horizontal circles
B. Nelli, R. Sa Earp, W. Santos +1
We prove that a H-surface M in H^2xR, |H| <= 1/2, inherits the symmetries of its boundary when the boundary is either a horizontal curve with curvature greater than one or two para…