15 citations · 85 across the 36 of their papers we have counts for
8 papers · 2 filters
The translating soliton equation
Rafael López
We give an analytic approach to the translating soliton equation with a special emphasis in the study of the Dirichlet problem in convex domains of the plane.
Riemann Zero Mean Curvature Examples in Lorentz-Minkowski Space
Seher Kaya, Rafael López
Riemann zero mean curvature examples in the Lorentz-Minkowski space are surfaces with zero mean curvature foliated by circles contained in parallel planes. In contrast to the Eucli…
Compact singular minimal surfaces with boundary
Rafael López
We study of the shape of a compact singular minimal surface in terms of the geometry of its boundary, asking what type of {\it a priori} information can be obtained on the surface…
Classification and construction of minimal translation surfaces in Euclidean space
Thomas Hasanis, Rafael López
A translation surface of Euclidean space $\r^3$ is the sum of two regular curves and , called the generating curves. In this paper we classify the minimal translation surfac…
Translation surfaces in Euclidean space with constant Gaussian curvature
Thomas Hasanis, Rafael López
We prove that the only surfaces in -dimensional Euclidean space with constant Gaussian curvature and constructed by the sum of two space curves are cylindrical surfac…
Classification of rotational surfaces in Euclidean space satisfying a linear relation between their principal curvatures
Rafael López, Álvaro Pámpano
We classify all rotational surfaces in Euclidean space whose principal curvatures and satisfy the linear relation , where and are two constants. We…