The tangent spherical image and ccr-curve of a time-like curve in L 3

Abstract

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.

A Survey on Timelike-Spacelike Involute-Evolute Curve Pair

“…Later, the authors adapted this problem for a non-null curves in the three dimensional Lorentz spaces [7,8]. Moreover, there are also many studies on spherical indicatrix curves and the n.l.c in Euclidean space and Lorentz space [9][10][11][12][13][14][15]. Recently, authors have found the relations between the Frenet vectors of the curve pair in the Lorentz 3-space [16].…”