Meridian surfaces of elliptic or hyperbolic type in the four-dimensional Minkowski space

Abstract

Meridian surfaces of elliptic or hyperbolic type are one-parameter systems of meridians of the rotational hypersurface with timelike or spacelike axis, respectively. We classify  the meridian surfaces with constant Gauss curvature or constant mean curvature, as well as the Chen meridian surfaces and the meridian surfaces with parallel normal bundle.