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math.DG2026
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…
math.DG2026
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…
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 =…