We prove a vertical halfspace theorem for surfaces with constant mean curvature H = 1/2, properly immersed in the product space H^2 x R, where H^2 is the hyperbolic plane and R is the set of real numbers. The proof is a geometric application of the classical maximum principle for second order elliptic PDE, using the family of noncompact rotational H = 1/2 surfaces in H^2xR.
A halfspace theorem for mean curvature H=1/2 surfaces in H^2xR
NELLI, BARBARA;
2010-01-01
Abstract
We prove a vertical halfspace theorem for surfaces with constant mean curvature H = 1/2, properly immersed in the product space H^2 x R, where H^2 is the hyperbolic plane and R is the set of real numbers. The proof is a geometric application of the classical maximum principle for second order elliptic PDE, using the family of noncompact rotational H = 1/2 surfaces in H^2xR.File in questo prodotto:
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