Work

Rectifying Curves in the Lightlike Cone

Year: 2024
Type: article
Abstract: A curve is called a rectifying curve if its position vector field always lies in its rectifying plane. In the present paper, we investigate the rectifying curves in the lightlike cone Q^2. For this firstly, we determine the curvatures of the rectifying curve in Q^2 . Then, with the help of these curvatures, we obtain the parametric representations of all rectifying curves in Q^2. Finally, we give various examples to support the theoretical results and show their images in the lightlike cone.
Language: English
Open Access status: hybrid
OpenAlex ID: W4405699866
FWCI:
Cites: 22
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Related to: 10