Iury Domingos

activity

20192026

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

1 citations · 2 across the 11 of their papers we have counts for

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3 papers · 1 filter

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

Rotational Ricci surfaces

Iury Domingos, Roney Santos, Feliciano Vitório

We classify rotational surfaces in the three-dimensional Euclidean space whose Gaussian curvature $K$ satisfies \begin{equation*} KΔK - \|\nabla K\|^2-4K^3 = 0. \end{equation*} The…

math.DG2023

A $σ$ -homothetic uniqueness of the critical catenoid

Iury Domingos, Roney Santos, Feliciano Vitório

We prove a uniqueness result for free boundary minimal annuli in the unit Euclidean three-ball that are $σ$ -homothetic to the critical catenoid.

The Bour's theorem for invariant surfaces in three-manifolds

Rotational Ricci surfaces

A σ-homothetic uniqueness of the critical catenoid

A $σ$ -homothetic uniqueness of the critical catenoid