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Biharmonic curves on \textit{LP}-Sasakian manifolds

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Type
Preprint
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Submission Date
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arXiv ID: 0811.0928
Source
arXiv
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Abstract

In this paper we give necessary and sufficient conditions for spacelike and timelike curves in a conformally flat, quasi conformally flat and conformally symmetric 4-dimensional \textit{LP}-Sasakian manifold to be proper biharmonic. Also, we investigate proper biharmonic curves in the Lorentzian sphere $S^{4}_{1}$.

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