• On Legendre Curve in an LP-Sasakian manifold with coefficient α

Abstract

In the present paper the torsion of the Legendre curve in an LP-Sasakian manifold with a coefficient α is obtained. Necessary and Sufficient conditions for Legendre curve having parallel mean curvature vector, having proper mean curvature vector and biharmonic condition is derived. It is also obtained that the necessary and sufficient condition for a Legendre curve in an LP-Sasakian manifold with coefficient α is of type AW(k),k=1,2,3.