Some affine surfaces in isotropic 3-space

This study consists of third chapters. In the introduction part, the purpose of the study and the reason for dealing with the subject were discussed. In addition, studies on afine spheres and afine ruled surfaces was mentioned. In the basic concepts section, definitions and theorems related to 3-dimensional Euclidean, simple isotropic and surfaces in affine space are given. The third chapter constitute the original part of our study. The Surfaces given as Monge patch z= f(u,v) in 3-dimensional affine space and their dual surfaces are defined in simple isotropic space. Then, the Gaussian and the mean curvatures of these surfaces are calculated. The constant and zero conditions of these curvatures are investigated.