In this work, we define the tangent spherical image of a unit speed time-like curve lying on the pseudohyperbolic space H 2 0 (r) in L 3 . In addition, we calculate a ccr-curve of this curve in L 3 . Besides, we determine a relation between harmonic curvature and a ccr-curve in L 3 , and so we obtain some new results.
In this paper, we find a relation between Frenet formulas and harmonic curvatures, and also a relation between Frenet formulas and e-curvature functions of a curve of osculating order 6 in 6 dimensional Lorentzian space L 6. Moreover, we give a relation between harmonic curvatures and ccr-curves of a curve in L 6 .
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.