|Revista Colombiana de Matemáticas|
(2003)Páginas 1 - 9
Abstract. In this paper we show the existence of a family of functions R and h for which does not exist a conformal metric to the Euclidean metric on the unit ball in Rn such that R is not its scalar curvature and h is not its mean curvature. To find this family, we use the moving spheres method and the maximum principle for elliptic operators.Palabras claves. Conformal deformation of metrics, moving spheres method, maximum principle.