Linear Weingarten rotational surfaces in pseudo-Galilean 3-space

Abstract

In the present paper, we study rotational surfaces in the three dimensional pseudo-Galilean space G 1 3 . Also, we classify linear Weingarten rotational surfaces in G 1 3 . A linear Weingarten surface is the surface having a linear equation between the Gaussian curvature and the mean curvature of a surface. In last section, we construct isotropic rotational surfaces in G 1 3 with prescribed mean curvature given by smooth function. As the results, we classify isotropic rotational surfaces with constant mean curvature.Mathematics Subject Classification: 53A35, 53B30