On Classification of Factorable surfaces in Galilean 3-Space G3

Abstract

In this paper, we study factorable surfaces in Galilean 3-space G³. Then we describe, up to a congruence, factorable surfaces and the several results in this respect are obtained. In particular, factorable surfaces in terms of an isometric immersion, finite type Gauss map and the pointwise 1-type Gauss map of the surfaces are considered and the characterization results on the factorable surfaces with respect to these conditions are obtained.

Key words and phrases. Galilean space, Factorable surface, Laplace Operator, Finite type, pointwise 1-type Gauss map.

2000 Mathematics Subject Classification. 53A35; 53B30