Darboux Frame of a Curve Lying on a Lightlike Surface

Year 2016, , 121 - 130, 30.10.2016

E. Selcen Yakıcı Topbaş İsmail Gök , Nejat Ekmekci , Yusuf Yaylı

https://doi.org/10.36753/mathenot.421465

Cited By: 5

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

References

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