3 papers
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)ÎK - |\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 \[ Îλ= -\varepsilon e^{-4λ}, \] and the Weierstrass representations of spacelike ($\varepsi…