activity
20062026
most citedThe Bour's theorem for invariant surfaces in three-manifolds

1 citations · 6 across the 19 of their papers we have counts for

collaborators

19 papers

math.DG2026

Spherical Ricci tori with rotational symmetry

Iury Domingos, Irene. I. Onnis

In this article, we study -spherical Ricci metrics, that is, Riemannian metrics whose Gaussian curvature satisfies \begin{equation*} (K - c)ΔK - |\nabla K|^2 - 4K(K - c)^2 =…

math.DG2025

A Liouville-Weierstrass correspondence for Spacelike and Timelike Minimal Surfaces in

Adriana A. Cintra, Iury Domingos, Irene I. Onnis

We investigate a correspondence between solutions of the Liouville equation \[ Δλ= -\varepsilon e^{-4λ}, \] and the Weierstrass representations of spacelike ($\varepsilon…

math.DG2023★ 1 cited

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…

math.DG2023

A family of higher genus complete minimal surfaces that includes the Costa-Hoffman-Meeks one

Irene I. Onnis, Bárbara C. Valério, José Antonio M. Vilhena

In this paper, we construct a one-parameter family of minimal surfaces in the Euclidean -space of arbitrarily high genus and with three ends. Each member of this family is immer…

math.DG2023★ 1 cited

Helix surfaces for Berger-like metrics on the anti-de Sitter space

Giovanni Calvaruso, Irene I. Onnis, Lorenzo Pellegrino +1

We consider the Anti-de Sitter space equipped with Berger-like metrics, that deform the standard metric of in the direction of the hyperbolic Hopf…

math.DG2021★ 1 cited

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…