Pseudo Quaterniyonik Lorentzian Evolute and İnvolute Eğriler İçin Yeni Bir Yaklaşım

Abstract

In this study, the main purpose is to obtain pseudo quaternionic Lorentzian evolute-involute curves on L_Q^4. In fact the pseudo quaternion is a quaternion which has 3-dimension and its temporal part is ziro. So it has only vectoral part of the quaternions. Thus, if defined a pseudo-quaternionic curve on L_Q^4, then its quaternionic part is pseudo quaternion. What is meant to do here, to write out Lorentzian evolute-involute curves of the quaternionic time-like curves in L_Q^4 using quaternions and to reveal some relationships between these curves.