Darboux Frame of a Curve Lying on a Lightlike Surface

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Mathematical Sciences and Applications E-Notes
Volume:4 Issue:2
Darboux Frame of a Curve Lying on a Lightlike Surface

Darboux Frame of a Curve Lying on a Lightlike Surface

Authors : E Selcen Yakıcı TOPBAŞ, İsmail GÖK, Nejat EKMEKCİ, Yusuf YAYLI

Pages : 121-130

Doi:10.36753/mathenot.421465

View : 48 | Download : 19

Publication Date : 2016-10-30

Article Type : Research Paper

Abstract :In this study, the Darboux frame is given for a curve lying on the lightlike surface of three dimensional Minkowski space. Moreover, known curvatures of the curve are obtained according to the Darboux frame and relationships between these curvatures are acquired. In specific case, by taking into consideration that the surface is a lightlike cone, similar characterizations are investigated.
Keywords : Darboux frame, Lightlike surface, Lightlike cone, Helix

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