A Kind of Rotational Surfaces With a Light-Like Axis in Conformally Flat Pseudo-Spaces of Dimensional Three

Abstract

In this work, we define the rotational surface with a light-like axis in conformally flat pseudo-spaces (E-3(1))(lambda), where lambda is a radial-type conformal factor. We relate the principal curvatures of a non-degenerate surface that belongs to conformally equivalent spaces (E-3(1))(lambda). and R-1(3), based on the radial conformal factor. Thus, we establish a relationship between the radial conformal factor and the profile curve of the rotational flat surface in (E-3(1))(lambda), but also for that of the rotational surface with zero extrinsic curvature.