Department of Mathematics, Faculty of Art and Sciences, University of Afyon Kocatepe, ANS Campus, 03200, Afyon, Turkey
Department of Mathematics, Faculty of Sciences, University of Ankara, Tandogan, 06100, Ankara, Turkey
In this paper, we study cyclic surfaces in 5 1 E generated by homothetic motions of a Lorentzian
circle. The properties of these cyclic surfaces up to first order are investigated. We show that, as it is shown in
E5 , cyclic 2-surfaces in 5 1 E , in general, are contained in canal hypersurfaces. Finally, we give an example.