Jesús Castro-Infantes

activity

20182026

collaborators

4 papers

math.DG2026

Minimal surfaces in $H^{2} \times R$ with finite total curvature and embedded ends

Jesús Castro-Infantes, Magdalena Rodríguez

In this paper we study the global geometry and classification of complete minimal surfaces with embedded ends and finite total curvature in the product space $\mathbb{H}^2 \times \…

math.DG2023

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

Jesús Castro-Infantes, José S. Santiago

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…

math.DG2023

Helicoidal minimal surfaces in the 3-sphere: An approach via spherical curves

Ildefonso Castro, Ildefonso Castro-Infantes, Jesús Castro-Infantes

We prove an existence and uniqueness theorem about spherical helicoidal (in particular, rotational) surfaces with prescribed mean or Gaussian curvature in terms of a continuous fun…

math.DG2018

Curves in Lorentz-Minkowski plane with curvature depending on their position

Ildefonso Castro, Ildefonso Castro-Infantes, Jesús Castro-Infantes

Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem of determining a plane curve whose curvature is given in terms of its position. We propou…

Minimal surfaces in H2×R with finite total curvature and embedded ends

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

Helicoidal minimal surfaces in the 3-sphere: An approach via spherical curves

Curves in Lorentz-Minkowski plane with curvature depending on their position

Minimal surfaces in $H^{2} \times R$ with finite total curvature and embedded ends

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