Explicit Formulas for Non-Geodesic Biharmonic Curves of the Heisenberg Group
Differential Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0311221,
title = {Explicit Formulas for Non-Geodesic Biharmonic Curves of the Heisenberg Group},
author = {R. Caddeo and C. Oniciuc and P. Piu},
journal= {arXiv preprint arXiv:math/0311221},
year = {2007}
}
Comments
16 pages, 2 figures