4 citations · 12 across the 8 of their papers we have counts for
9 papers
Minimal surfaces in 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 \…
Genus one -surfaces with -ends in
Jesús Castro-Infantes, José S. Santiago
We construct two different families of properly Alexandrov-immersed surfaces in with constant mean curvature , genus one and $k\g…
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…
Conjugate Plateau constructions in product spaces
Jesús Castro-Infantes, José M. Manzano, Francisco Torralbo
This survey paper investigates, from a purely geometric point of view, Daniel's isometric conjugation between minimal and constant mean curvature surfaces immersed in homogeneous R…
Spherical curves whose curvature depends on distance to a great circle
Ildefonso Castro, Ildefonso Castro-Infantes, Jesús Castro-Infantes
Motivated by a problem posed by David A. Singer in 1999 and by the elastic spherical curves, we study the spherical curves whose curvature is expressed in terms of the distance to…
A construction of constant mean curvature surfaces in and the Krust property
Jesús Castro-Infantes, José M. Manzano, Magdalena Rodríguez
We show the existence of a -parameter family of properly Alexandrov-embedded surfaces with constant mean curvature in .…
On the asymptotic Plateau problem in
Jesús Castro-Infantes
We prove some non-existence results for the asymptotic Plateau problem of minimal and area minimizing surfaces in the homogeneous space wi…
Genus one minimal k-noids and saddle towers in
Jesús Castro-Infantes, José M. Manzano
For each , we construct a 1-parameter family of complete properly Alexandrov-embedded minimal surfaces in the Riemannian product space with…
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…