Explicit Formulas for Non-Geodesic Biharmonic Curves of the Heisenberg Group
R. Caddeo, C. Oniciuc, P. Piu
Abstract
We consider the biharmonicity condition for maps between Riemannian manifolds (see [BK]), and study the non-geodesic biharmonic curves in the Heisenberg group H3. First we prove that all of them are helices, and then we obtain explicitly their parametric equations.
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