Abstract
We study biharmonic curves in contact geometry whose mean curvature vector field is in the kernel of Laplacian. We give some results for biharmonic curves in Sasakian 3-space. We also give some characterizations for Legendre curves in the same space.
Highlights
Introduction and PreliminariesLet M be a smooth manifold
We study biharmonic curves in contact geometry whose mean curvature vector ...eld is in the kernel of Laplacian
If the Legendre curve is a circular helix, the di¤ erential equation characterizing the curve is r03V3 + ( 2 + ")r0 V3 = 0: Proof
Summary
Introduction and PreliminariesLet M be a smooth manifold. A contact form on M is a 1-form such that (d )n ^ 6= 0. The associated Lorentz metric h satis...es the following equation (Theorem 3 in [2]): (rX )Y = h(X; Y ) + (Y )X; rX = X: The reel vector ...eld is globally de...ned timelike killing vector ...eld on the Lorentz manifold (M; h).
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