On the striction curves along the involutive and Bertrandian Darboux ruled surfaces based on the tangent vector fields
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 4)Publication Date: 2016-09-01
Authors : Suleyman Senyurt; Şeyda Kılıçoğlu;
Page : 128-136
Keywords : Involute curve Bertrand curves pairstriction curves Bertrandian Darboux ruled surfaces involutive Darboux ruled surfaces.;
Abstract
In this paper, we consider special ruled surfaces associated to the involute curve and Bertrand mate of a curve. They are called as Involutive Darboux Frenet ruled surface and Bertrandian Darboux Frenet ruled surface, cause of their generators are the Darboux vector fields of involute curve and Bertrand mate. We give the parametric equations of striction curves along these Frenet ruled surfaces in terms of the Frenet apparatus of curve . Further some results are given based on the tangent vector fields of these striction curves along Involutive and Bertrand Darboux ruled surfaces in E3.
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