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Null (Lightlike) $f$-Rectifying Curves in the Three Dimensional Minkowski Space $\mathbb{E}^3_1$

2020
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Fundamental Journal of Mathematics and Applications
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A rectifying curve γ in the Euclidean 3-space E 3 is defined as a space curve whose position vector always lies in its rectifying plane (i.e., the plane spanned by the unit tangent vector field T γ and the unit binormal vector field B γ of the curve γ), and an f -rectifying curve γ in the Euclidean 3-space E 3 is defined as a space curve whose f -position vector γ f , defined by γ f (s) = f (s)dγ, always lies in its rectifying plane, where f is a nowhere vanishing real-valued integrable

doi:10.33401/fujma.708816
fatcat:7g3crg43qrco5lyneqm24h3psq