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…