On Slant Curves in Sasakian Lorentzian 3-Manifolds

Authors : Ji-eun LEE

Pages : 108-115

Doi:10.36890/iejg.595442

View : 9 | Download : 6

Publication Date : 2020-10-15

Article Type : Research Paper

Abstract :In this paper,  we study $C$-parallel mean curvature vector field and $C$-proper mean curvature vector field along a slant Frenet curve in a Sasakian Lorentzian 3-manifold. In particular, we prove that a slant Frenet curve $\gamma$ in a Sasakian Lorentzian $3$-manifold $M$ satisfying $\Delta_{\dot{\gamma}} H =0$ is a geodesic or pseudo-helix with $\kappa^2=\tau^2$. For example, we find slant pseudo-helix in Lorentzian Heisenberg 3-space.                                                                                                                                                                                 
Keywords : Slant Curves, Legendre curve, Sasakian Lorentzian manifold