The Natural Lift Curves for the Spherical Indicatrices of the Timelike-Spacelike Bertrand Couple in Minkowski 3-Space

Abstract

This paper deals with the natural lift curves and the geodesic sprays for the spherical indicatrices of the timelike-spacelike Bertrand couple on the tangent bundle or in Minkowski 3-space and then give some new characterizations for these curves. Additionally we illustrate an example of our main results.

15 pages, 7 figures. arXiv admin note: text overlap with arXiv:1404.1703