15 citations · 85 across the 36 of their papers we have counts for
4 papers · 2 filters
Classification of separable surfaces with constant Gaussian curvature
Thomas Hasanis, Rafael López
We classify all surfaces with constant Gaussian curvature in Euclidean -space that can be expressed as an implicit equation of type , where , and $h…
A characteristic property of Delaunay surfaces
Thomas Hasanis, Rafael López
We prove that Delaunay surfaces, except the plane and the catenoid, are the only surfaces in Euclidean space with nonzero constant mean curvature that can be expressed as an implic…
The Dirichlet problem of the constant mean curvature equation in Lorentz-Minkowski space and in Euclidean space
Rafael López
We investigate the differences and similarities of the Dirichlet problem of the mean curvature equation in the Euclidean space and in the Lorentz-Minkowski space. Although the solv…
The two-dimensional analogue of the Lorentzian catenary and the Dirichlet problem
Rafael López
In this paper we generalize in Lorentz-Minkowski space the two-dimensional analogue of the catenary of Euclidean space. We solve the Dirichlet problem for bounded mean convex…