42 citations · 55 across the 5 of their papers we have counts for
5 papers
Bour's theorem and helicoidal surfaces with constant mean curvature in the Bianchi-Cartan-Vranceanu spaces
R. Caddeo, Irene I. Onnis, P. Piu
In this paper we generalize a classical result of Bour concerning helicoidal surfaces in the three-dimensional Euclidean space R^3 to the case of helicoidal surfaces in the Bianchi…
Loxodromes on invariant surface in three-manifolds
R. Caddeo, Irene I. Onnis, P. Piu
In this paper, we prove important results concerning the loxodromes on an invariant surface in a three-dimensional Riemannian manifold, some of which generalize classical results a…
Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor
R. Caddeo, S. Montaldo, C. Oniciuc +1
We introduce the notion of biconservative hypersurfaces, that is hypersurfaces with conservative stress-energy tensor with respect to the bienergy. We give the (local) classificati…
The Classification of Biharmonic Curves of Cartan-Vranceanu 3-Dimensional Spaces
R. Caddeo, S. Montaldo, C. Oniciuc +1
In this article we characterize all biharmonic curves of the Cartan-Vranceanu 3-dimensional spaces and we give their explicit parametrizations.
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…