Explicit formulas for non-geodesic biharmonic curves of the Heisenberg group

CADDEO, RENZO ILARIO;ONICIUC C;PIU, MARIA PAOLA

2004-01-01

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Abstract

We consider the biharmonicity condition for maps be- tween Riemannian manifolds and we study the non-geodesic bihar- monic curves in the Heisenberg group H_3. We prove that they are helices, and we obtain their explicit parametrization.