Height estimates for surfaces with positive constant mean curvature in M2 xR
0 - J.A. Aledo, J.A. Gálvez, J.M. Espinar.
Illinois Journal of Mathematics 52 (2008), 203--211
authors IMACI
Abtract
We obtain height estimates for compact embedded surfaces with positive constant mean curvature in a Riemannian product space M2 × R and boundary on a slice. We prove that these estimates are optimal for the homogeneous spaces R3, S2 × R, and H2 × R and we characterize the surfaces for which these bounds are achieved. We also give some geometric properties on properly embedded surfaces without boundary