Split quaternions and time-like constant slope surfaces in Minkowski 3-space

Abstract

In this paper, we prove that time-like constant slope surfaces can be reparametrized by using rotation matrices corresponding to unit time-like split quaternions and homothetic motions. Afterwards we give some examples to illustrate our main results by using Mathematica.

17 Pages, 3 Figures. arXiv admin note: substantial text overlap with arXiv:1203.0688