Special helices on equiform differential geometry of timelike curves in E_1^4

Abstract

In this paper, we introduce the moving Frenet frame along the timelike curve in E_1^4 and then Frenet formulas with the equiform parameter in the equiform geometry of the Minkowski space-time. We obtain k-type helices for equiform differential geometry of timelike curves in Minkowski space-time E_1^4, in terms of their curvature functions. We give some new characterizations for these helices and investigate the special helices in Minkowski space-time. Finally, we establish (k,m)-type slant helices for equiform differential geometry of timelike curves in E_1^4.