A Conformal Representation for Linear Weingarten Surfaces in the de Sitter Space
2007 - J.A. Aledo, J.M. Espinar
Journal of Geometry and Physics, 57, 1669-1677 (2007).
In this paper we study a wide family of spacelike surfaces in which includes, for instance, constant mean curvature 1 surfaces and flat surfaces: those whose mean and Gauss–Kronecker curvatures verify the lineal relationship 2a(H−1)+b(K−1)=0 for . We show that these surfaces can be parametrized with holomorphic data and we use it to classify the complete surfaces from this family with non-negative Gaussian curvature