New representations of focal curves in the special o−Ricci symmetric Para-Sasakian Manifold P

Abstract

In this paper, we study matrix representations of focal curves in terms of biharmonic curves in the special three-dimensional o−Ricci symmetric para-Sasakian manifold P. We construct new parametric equations of focal curves in terms of matrix representations in the special three-dimensional o −Ricci symmetric para-Sasakian manifold P.