CYCLIC SURFACES IN E51 GENERATED BY HOMOTHETIC MOTIONS

In this paper, we study cyclic surfaces in 5 1 E generated by homothetic motions of a Lorentziancircle. The properties of these cyclic surfaces up to first order are investigated. We show that, as it is shown inE5 , cyclic 2-surfaces in 5 1 E , in general, are contained in canal hypersurfaces. Finally, we give an example.