Linear Weingarten revolution surfaces in three-dimensional pseudo-Galilean space

Abstract

In this paper, we classify the revolution surfaces in the pseudo-Galilean space G13 as having a linear relationship between the Gaussian (K) curvature and the mean(H) curvature i.e., aH + bK = c, where a, b, c are constants. In special cases, we classify the revolution surfaces as having null Gaussian curvature and null mean curvature. Further, we study the revolution surfaces satisfying △x_i =λ_ix_i, where △ is the Laplacian operator with respect to the first fundamental form, λ_i’s is the eigenvalue value, and x_i’s is the coordinate functions of the given surface.