Abstract
In this paper, we construct a new method for inextensible flows of spacelike curves in a conformally flat, quasi conformally flat and conformally symmetric 4-dimensional LP-Sasakian manifold. Using the Frenet frame of the given curve, we present partial differential equations. We give some characterizations for curvatures of a spacelike curve in a conformally flat, quasi conformally flat and conformally symmetric 4-dimensional LP-Sasakian manifold.
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