54 citations · 55 across the 21 of their papers we have counts for
21 papers
Invariant -translators for the Gauss curvature flow in Euclidean space
Muhittin Evren Aydin, Rafael López
A -translator is a surface in Euclidean space whose Gauss curvature satisfies , where is the Gauss map, is a fi…
Classification of ruled surfaces in Lorentz-Minkowski space that are stationary for the moment of inertia
Muhittin Evren Aydin, Rafael López
In this paper, we study hypersurfaces in Lorentz-Minkowski space that are stationary for the moment of inertia with respect to the origin. After giving examples…
Extension of a problem of Euler in Lorentz-Minkowski plane
Muhittin Evren Aydin, Rafael López
In this paper we study curves in Lorentz-Minkowski space that are critical points of the moment of inertia with respect to the origin. This extends a problem posed b…
Maximal translation surfaces in Lorentz-Minkowski space
Rafael López
A translation surface in Lorentz-Minkowski space $\rr^3$ is a surface defined as the sum of two spatial curves. In this paper we present a classification of maximal surfaces of tra…
A Note on Helicoidal Singular Minimal Surfaces
Rafael López
Let $α\in\r$ and let $\vec{v}\in\r^3$ be a unit vector. A singular minimal surface in Euclidean space is a surface whose mean curvature satisfies $H=α\frac{\langle N,\v…
Singular minimal surfaces with constant curvature
Rafael López
We prove that singular minimal surfaces with constant Gauss curvature are planes, spheres and cylindrical surfaces. We also classify all singular minimal surfaces with a constant p…
Stationary surfaces for the moment of inertia with constant Gauss curvature
Rafael López
Consider the energy , where is a surface in Euclidean space $\r^3$ and $α\in\r$. We prove that planes and spheres are the only stationary surfaces for…
Axisymmetric stationary surfaces for the moment of inertia
Ulrich Dierkes, Rafael López
We investigate axisymmetric surfaces in Euclidean space that are stationary for the energy . By using a phase plane analysis, we classify these surfaces when…
Two classification results for stationary surfaces of the least moment of inertia
Rafael López
A surface in Euclidean space $\r^3$ is said to be an -stationary surface if it is a critical point of the energy , where $α\in\r$. We prove that all ruled -stati…
Open problems on compact constant mean curvature surfaces with boundary
Rafael López
We present a collection of easily stated open problems in the theory of compact constant mean curvature surfaces with boundary. We also survey the current status of answering them.
On intrinsic rotational surfaces in the Lorentz-Minkowski space
Seher Kaya, Rafael López
Spacelike intrinsic rotational surfaces with constant mean curvature in the Lorentz-Minkowski space $\E_1^3$ have been recently investigated by Brander et al., extending the known…
Stability of cylinders in homogeneous spaces
Antonio Bueno, Rafael López
We extend the classical Plateau-Rayleigh instability criterion in the spaces. We prove the existence of a positive number such that if a truncated circula…
Translators of the mean curvature flow in the special linear group
Rafael López, Marian Ioan Munteanu
Translators in the special linear group are surfaces whose mean curvature and unit normal vector satisfy , where is a fixed Kil…
Constant sectional curvature surfaces with a semi-symmetric non-metric connection
Muhittin Evren Aydin, Rafael López, Adela Mihai
Consider the Euclidean space endowed with a canonical semi-symmetric non-metric connection determined by a vector field . We…
Classification of translation surfaces in with constant sectional curvature
Muhittin Evren Aydin, Rafael López, Adela Mihai
In this paper, we study translation surfaces in the Euclidean space endowed with a canonical semi-symmetric non-metric connection. We completely classify the translation surfaces o…
Solitons of the mean curvature flow in
Rafael López, Marian Ioan Munteanu
A soliton of the mean curvature flow in the product space as a surface whose mean curvature satisfies the equation , where…
The class of grim reapers in
Antonio Bueno, Rafael López
We study translators of the mean curvature flow in the product space $\h^2\times\r$. In $\h^2\times\r$ there are three types of translations: vertical translations due to the facto…
A new family of translating solitons in hyperbolic space
Antonio Bueno, Rafael López
If is a Killing vector field of the hyperbolic space $\h^3$ whose flow are parabolic isometries, a surface $Σ\subset\h^3$ is a -translator if its mean curvature satisfie…
Horo-shrinkers in the hyperbolic space
Antonio Bueno, Rafael López
A surface in the hyperbolic space $\h^3$ is called a horo-shrinker if its mean curvature satisfies , where are the coordinates of $…
Limits on point-like sources of ultra-high-energy neutrinos with the Pierre Auger Observatory
The Pierre Auger Collaboration, A. Aab, P. Abreu +389
With the Surface Detector array (SD) of the Pierre Auger Observatory we can detect neutrinos with energy between eV and eV from point-like sources across the…
Spacelike surfaces with free boundary in the Lorentz-Minkowski space
Rafael López, Juncheol Pyo
We investigate a variational problem in the Lorentz-Minkowski space whose critical points are spacelike surfaces with constant mean curvature and making constant contact angl…