Pseudo-Hyperbolic Curves in \({E}^5_v\)

Derya Saglam1, Ozgur Boyacioglu Kalkan1
1Department of Mathematics, Faculty of Science and Arts, ANS Campus, Afyon Ko- catepe University, 03200 Afyonkarahisar, Turkey.

Abstract

In this paper, we characterize all spacelike, timelike, and null curves lying on the pseudohyperbolic space \({H}^{4}_{v-1}\), in Minkowski space \({E}^5_v\). Moreover, we prove that there are no timelike and no null curves lying on the pseudohyperbolic space \({H}^{4}_{v-1}\) in \({E}^5_v\).