Title of article :
On Smarandache TN Curves in Terms of Biharmonic Curves in the Special Three- Dimensional Ø-Ricci Symmetric Para- Sasakian Manifold P
Author/Authors :
Körpınar ، Talat - Fırat University , Turhan ، Essin - Fırat University
Abstract :
In this paper, we study Smarandache TN curves in terms of biharmonic curves in the special three-dimensional Ø-Ricci symmetric para-Sasakian manifold P.. We define a special case of such curves and call it Smarandache TN curves in the special three-dimensional Ø-Ricci symmetric para-Sasakian manifold P. We construct parametric equations of Smarandache TN curves in terms of biharmonic curve in the special three-dimensional Ø-Ricci symmetric para-Sasakian manifold P.
Keywords :
Biharmonic curve , curvature , para , Sasakian manifold , Smarandache TN curves , torsion ,
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
