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.
Cite this article
José M. Espinar, Harold Rosenberg, Complete constant mean curvature surfaces in homogeneous spaces. Comment. Math. Helv. 86 (2011), no. 3, pp. 659–674DOI 10.4171/CMH/237