Title of article :
On Legendre Curves in α-Sasakian Manifolds
Author/Authors :
Özgür, Cihan Balkesir University - Department of Mathematics, Turkey , Tripathi, Mukut Mani Banaras Hindu University - Department of Mathematics, India , Tripathi, Mukut Mani Lucknow University - Department of Mathematics and Astronomy, India
Abstract :
The torsion of a Legendre curve of an α-Sasakian manifold is ob- tained. Necessary and sufficient conditions for Legendre curves having parallel mean curvature vector, having proper mean curvature vector, being harmonic and being of type AW (k), k = 1, 2, 3 are also obtained.
Keywords :
Legendre curve , Sasakian manifold , Biharmonic submanifold , Curve of type AW(k)
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society