Explicit Formulas for Non-Geodesic Biharmonic Curves of the Heisenberg Group

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We consider the biharmonicity condition for maps between Riemannian manifolds (see [BK]), and study the non-geodesic biharmonic curves in the Heisenberg group H_3. First we prove that all of them are helices, and then we obtain explicitly their parametric equations.
16 pages, 2 figures

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Differential Geometry, 58E20, 31B30

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http://salesiana.dossiersoluciones.com/handle/123456789/69180

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311221
 http://arxiv.org/abs/math/0311221

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arXiv