54 citations · 55 across the 21 of their papers we have counts for
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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.