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-0(2)(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.