Three dimensional surfaces foliated by the equiform motion of pseudohyperbolic surfaces in

Abstract

In this paper we study three dimensional surfaces in  generated by equiform motions of a pseudohyperbolic surface. The properties of these surfaces up to the first order are investigated. We prove that three dimensional surfaces in  in general, is contained in a canal hypersurface, which is gained as envelope of a one-parametric set of 6-dimensional pseudohyperbolic. Finally we give an example.