Harmonic 1-type curves and weak biharmonic curves in Lorentzian 3-space
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2014
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Abstract
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 L3. We also study weak biharmonic curves whose mean curvature vector fields are in the kernel of normal Laplacian ∇⊥. We give some theorems for them in L3. Moreover, we give some characterizations and results for a Frenet curve in the same space.