3 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)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…
math.DG2025
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…