A study on classification of translation surfaces in pseudo-Galilean 3-space

Abstract

In this paper, we characterize translation surfaces such as translation surfaces of type-I and type-II in pseudo-Galilean 3-space G(3)(1). Then we study some classification of translation surfaces of type-I in pseudo-Galilean 3-space G(3)(1) under the condition Delta r=Ar, where A is an element of R-3x3 the set of 3 x 3 real matrices. Also we give a theorem to classify translation surfaces of type-I in pseudo-Galilean 3-space G(3)(1) under the condition Delta G = AG, where G is the Gauss map, and A = (a(ij)), i, j =1, 2, 3.