On the Natural Lift Curves for the Involute Spherical Indicatrices in Minkowski 3-space
Authors :
M. Bilici a,∗ and T.A. Ahmad b
Author Address :
a Ondokuz Mayıs University, Education Faculty, Department of Mathematics, 55200, Samsun, Turkey.
b King Abdul Aziz University, Faculty of Science, Department of Mathematics, 80203, Jeddah, Saudi Arabia.
*Corresponding author.
Abstract :
This study presents some new conditions of being integral curve for the geodesic spray of the natural lift curves of the spherical indicatrices of the involutes of a given spacelike curve with a timelike binormal in Minkowski 3-space. Furthermore, depending on these conditions some interesting results about the spacelike evolute curve were obtained. Additionally we illustrate an example of our main results.
Keywords :
Minkowski space, involute-evolute curve couple, geodesic spray, natural lift curve, spherical indicatrix.
DOI :
Article Info :
Received : August 25, 2016; Accepted : November 20, 2016.
