activity
20062022
most citedClassification and construction of minimal translation surfaces in Euclidean space

15 citations · 85 across the 36 of their papers we have counts for

collaborators

49 papers

math.DG2022

Rotational -translators in Minkowski space

Muhittin Evren Aydin, Rafael López

A spacelike surface in Minkowski space is called a -translator of the flow by the powers of Gauss curvature if satisfies , $α\n…

math.AP2022

Radial solutions for equations of Weingarten type

Antonio Bueno, Rafael López

In this paper we study the linear Weingarten equation defined by the fully non-linear PDE $$a\, \mbox{div}\frac{Du}{\sqrt{1+|Du|^2}}+b\, \frac{\mbox{det}D^2u}{(1+|Du|^2)^2}=ϕ\left(…

math.DG2022

Translators of the Gauss curvature flow

Muhittin Evren Aydin, Rafael López

A -translator is a surface in Euclidean space $\r^3$ that moves by translations in a spatial direction and under the -flow, where is the Gauss curvature and is a…

math.HO2021

What is the Shape of a Cupola?

Rafael López

This article examines the shape of a surface obtained by a hanging flexible, inelastic material with prescribed area and boundary curve. The shape of this surface, after being turn…

math.DG2021

Stationary soap films with vertical potentials

Rafael López, Alvaro Pámpano

We classify cylindrical surfaces in the Euclidean space whose mean curvature is a th-power of the distance to a reference plane. The generating curves of these surfaces, called…

math.DG2020

Constant-speed ramps for a central force field

Rafael López, Óscar Perdomo

We investigate the problem of determining the planar curves that describe ramps where a particle of mass moves with constant-speed when is subject to the action of the friction…