CYCLIC SURFACES IN E51 GENERATED BY HOMOTHETIC MOTIONS

Authors

1 Department of Mathematics, Faculty of Art and Sciences, University of Afyon Kocatepe, ANS Campus, 03200, Afyon, Turkey

2 Department of Mathematics, Faculty of Sciences, University of Ankara, Tandogan, 06100, Ankara, Turkey

Abstract

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.

Keywords

Iranian Journal of Science
Volume 34, Issue 1 - Serial Number 1
January and February 2010
Pages 19-26

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