Complete Constant Mean Curvature surfaces in homogeneous spaces

In this paper we classify complete surfaces of constant mean curvature whose Gaussian curvature does not change sign in a simply connected homogeneous manifold with a 4-dimensional isometry group.Comment: We have corrected a mistake in Theorem 2.

Fatou's Theorem and minimal graphs

In this paper we extend a recent result of Collin-Rosenberg ({\it a solution to the minimal surface equation in the Euclidean disc has radial limits almost everywhere}) to a large class of differential operators in Divergence form. Moreover, we construct an example (in the spirit of \cite{CR2}) of a minimal graph in \mr, where \m is a Hadamard surface, over a geodesic disc which has finite radial limits in a mesure zero set.Comment: 13 figure