HARMONIC 1-TYPE CURVES AND WEAK BIHARMONIC CURVES IN LORENTZIAN 3-SPACE

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In this paper, we give definitions and characterizations of harmonic 1-type and weak biharmonic curves by using the mean curvature vector field of a Frenet curve in the Lorentzian 3-space L-3. We also study weak biharmonic curves whose mean curvature vector fields are in the kernel of normal Laplacian del(perpendicular to). We give some theorems for them in L-3. Moreover, we give some characterizations and results for a Frenet curve in the same space.

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http://hdl.handle.net/20.500.14701/38607

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