THREE-DIMENSIONAL SURFACES FOLIATED BY AN EQUIFORM MOTION OF PSEUDOHYPERBOLIC SURFACES IN
In this paper, we study three-dimensional surfaces in generated by equiform motions of the pseudohyperbolic surface. The properties of these surfaces up to the first order are investigated. We prove that three-dimensional surfaces in are contained in a canal hypersurface, which is reached as envelope of one-parametric set of six-dimensional pseudospheres. Finally we give an example.
equiform motion, hypersurfaces, Lorentz metrics.