The research on rotational surfaces in pseudo Euclidean 4-space with index 2

Abstract

In this study, we define a brief description of the hyperbolic and elliptic rotational surfaces using a curve and matrices in 4-dimensional semi-Euclidean space with index 2. That is, we provide different types of rotational matrices, which are the subgroups of M by rotating a selected axis in E4 . Also, we choose two-parameter matrices groups of rotations and we give the matrices of rotation corresponding to the appropriate subgroup in 4-dimensional semi-Euclidean space. Therefore, we generate surfaces of rotation using Killing vector fields in E4 2 and we give the Gaussian curvature and the mean curvature of the surfaces of rotation.