11 papers
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 -…
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…
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…