O objetivo deste trabalho é estudar superfcies no espaço pseudo-euclidianoR^4_2 . Basicamente, consideramos vários tipos de superfcies nesse espaço e assim se obter alguns resultados clássicos da Geometria Diferencial. Para superfcies que são certos tipos de gráficos nesse espaço se faz um estudo para os problemas de Bernstein e Björling.

The aim of this work is to study surfaces in pseudo-euclidean space R^4_2 . Basically, we consider several types of surfaces in this space and thus obtain some classical results in Differential Geometry. For surfaces that are certain types of graphs in this space is made a study for the Bernsteins problem and the Björlings problem.