Biharmonic curves on \textit{LP}-Sasakian manifolds

Details Biharmonic curves on \textit{LP}-Sasakian manifolds Biharmonic curves on \textit{LP}-Sasakian manifolds

2008-11-06

arxiv.org/abs/0811.0928v2

Mathematics

Differential Geometry

22 pages

Scientific paper

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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