1 citations · 2 across the 11 of their papers we have counts for
12 papers
Overdetermined equations and support functions on the hyperbolic and de Sitter planes
Márcio Batista, Iury Domingos
We study overdetermined equations on the hyperbolic and de Sitter planes by means of the support-function representation of zero mean curvature surfaces in Lorentz--Minkowski three…
On Umbilical Real Hypersufaces of Products of Complex Space Forms
Iury Domingos, Ranilze da Silva, Alexandre de Sousa +1
Tashiro and Tachibana proved that there exist no totally umbilical hypersurfaces in complex space forms with nonzero constant holomorphic sectional curvature, and it is also known…
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 =…
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…
Ruled Ricci surfaces and curves of constant torsion
Alcides de Carvalho, Iury Domingos, Roney Santos
We show that all non-developable ruled surfaces endowed with Ricci metrics in the three-dimensional Euclidean space may be constructed using curves of constant torsion and its bino…
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…
Rotational Ricci surfaces
Iury Domingos, Roney Santos, Feliciano Vitório
We classify rotational surfaces in the three-dimensional Euclidean space whose Gaussian curvature satisfies \begin{equation*} KΔK - \|\nabla K\|^2-4K^3 = 0. \end{equation*} The…
A -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 -homothetic to the critical catenoid.
Minimal Kähler submanifolds in product of space forms
Alcides de Carvalho, Iury Domingos
In this article, we study minimal isometric immersions of Kähler manifolds into product of two real space forms. We analyse the obstruction conditions to the existence of pluriharm…
A Note on Free Boundary Hypersurfaces in Space Forms Balls
Iury Domingos, Roney Santos, Feliciano Vitório
In this article, we establish a relationship between geometric quantities of a hypersurface restricted to its boundary, and the geometric quantities of its boundary as a hypersurfa…
The Gauss map of minimal surfaces in
Iury Domingos
In this work, we consider the model of isometric to , endowed with a metric conformally equivalent to the Euclidean metr…
Constant mean curvature Isometric Immersions into and and related results
Benoît Daniel, Iury Domingos, Feliciano Vitório
In this article, we study constant mean curvature isometric immersions into and and we classify these isometric im…