Curvature and torsion of a legendre curve in  $(varepsilon ,delta) $ Trans-Sasakian manifolds

Bilal Eftal ACET1* and Selcen YÜKSEL PERKTAS2

doi:10.26637/MJM0601/0018

Curvature and torsion of a legendre curve in $(varepsilon ,delta) $ Trans-Sasakian manifolds

Authors :

Bilal Eftal ACET^1*and Selcen YÜKSEL PERKTAS²

Author Address :

^1,2Department of Mathematics, Adıyaman University, 02040, Adıyaman, TURKEY.

*Corresponding author.

Abstract :

In present paper, we obtain curvature and torsion of Legendre curves in 3-dimensional $(varepsilon ,delta )$ trans-Sasakian manifolds. Also important theorems concerning about biharmonic Legendre curves of $(varepsilon ,delta )$ trans-Sasakian manifolds have been given.

Keywords :

Legendre curves, Biharmonic map.

DOI :

10.26637/MJM0601/0018

Article Info :

Received : June 23, 2017; Accepted : December 12, 2017.