15 citations · 33 across the 7 of their papers we have counts for
9 papers
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…
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…
On the Jacobian of minimal graphs in R^4
Th. Hasanis, A. Savas-Halilaj, Th. Vlachos
We provide a characterization for complex analytic curves among two-dimensional minimal graphs in via the Jacobian
Minimal graphs in with bounded Jacobians
Th. Hasanis, A. Savas-Halilaj, Th. Vlachos
We obtain a Bernstein type result for entire two dimensional minimal graphs in , which extends a previous one due to L. Ni. Moreover, we provide a characterization…