42 citations · 48 across the 11 of their papers we have counts for
12 papers
The Bour's theorem for invariant surfaces in three-manifolds
Iury Domingos, Irene I. Onnis, Paola Piu
In this paper, we apply techniques from equivariant geometry to prove that a generalized Bour's theorem holds for surfaces that are invariant under the action of a one-parameter gr…
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…
Constant angle surfaces in Lorentzian Berger spheres
Irene I. Onnis, Apoena Passos Passamani, Paola Piu
In this work, we study helix spacelike and timelike surfaces in the Lorentzian Berger sphere $\s_{\varepsilon}^3$, that is the three-dimensional sphere endowed with a -parameter…
Constant angle surfaces in the Lorentzian Heisenberg group
Irene I. Onnis, P. Piu
In this paper, we define and, then, we characterize constant angle spacelike and timelike surfaces in the three-dimensional Heisenberg group, equipped with a 1-parameter family of…
Invariant submanifolds of metric contact pairs
Amine Hadjar, Paola Piu
We show that -invariant submanifolds of metric contact pairs with orthogonal characteristic foliations make constant angles with the Reeb vector fields. Our main result is that…