On $f-$biharmonic Curves in the Three-dimensional Lorentzian Sasakian Manifolds

Abstract

The necessary and sufficient conditions for a proper $f-$biharmonic curve in the three-dimensional Lorentzian Sasakian manifolds are obtained. Moreover, we give some results for $f-$biharmonic Legendre curves.

Keywords

• Lorentzian metric
• f-biharmonic curves
• Lorentzian Sasakian manifolds

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