42 citations · 45 across the 3 of their papers we have counts for
3 papers
math.DG2004★ 1 cited
On the biharmonic and harmonic indices of the Hopf map
E. Loubeau, C. Oniciuc
Biharmonic maps are the critical points of the bienergy functional and, from this point of view, generalise harmonic maps. We consider the Hopf map $ψ:\s^3\to \s^2$ and modify it i…
math.DG2003★ 42 cited
Explicit Formulas for Non-Geodesic Biharmonic Curves of the Heisenberg Group
R. Caddeo, C. Oniciuc, P. Piu
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 t…
math.DG2003★ 2 cited
The index of biharmonic maps in spheres
E. Loubeau, C. Oniciuc
Biharmonic maps are the critical points of the bienergy functional and generalise harmonic maps. We investigate the index of a class of biharmonic maps, derived from minimal Rieman…