International Journal of Mathematics, Statistics and Operations Research, vol.5, no.1, pp.57-66, 2025 (Peer-Reviewed Journal)
Weconstructasurface familypossessinganatural liftof agivenspacelikecurve withspacelikebinormalasalineofcurvature.Weobtainsufficientconditionforthe givencurvesuchthat itsnatural lift isa lineof curvatureonanymemberof the surfacefamily.Finally,wepresentanillustrativeexample.