J. S. Santiago

collaborators

3 papers

math.DG2025

Isometric immersions into three-dimensional unimodular metric Lie groups

Ildefonso Castro, JosÃ© M. Manzano, JosÃ© S. Santiago

We study isometric immersions of surfaces into simply connected 3-dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left-invariant metrics, assuming th…

math.DG2025

Uniqueness of the Bonnet problem in Thurston geometries

JosÃ© S. Santiago

We study the Bonnet problem in Bianchi--Cartan--VrÄnceanu spaces and in $Sol_{3}$ . Our main contribution is to establish the uniqueness of Bonnet mates, which leads us to a…

math.DG2024

Genus one $H$ -surfaces with $k$ -ends in $H^{2} \times R$

We construct two different families of properly Alexandrov-immersed surfaces in $H^{2} \times R$ with constant mean curvature $0 < H \leq \frac{1}{2}$ , genus one and $k\g…

Isometric immersions into three-dimensional unimodular metric Lie groups

Uniqueness of the Bonnet problem in Thurston geometries

Genus one H-surfaces with k-ends in H2×R

Genus one $H$ -surfaces with $k$ -ends in $H^{2} \times R$