activity
20092026
most citedClassification of separable hypersurfaces with constant sectional curvature

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.DG2026

Separable surfaces that are critical points of the Dirichlet energy

Rafael López

In this paper, we study surfaces in Euclidean space that satisfy the equation where $Λ\in\r$ is a real constant. We classify these surfaces whe…

math.DG2026

Geometric aspects of the curve shortening flow in the hyperbolic plane

Ivan Krznarić, Rafael López

We define a new notion of translations in the hyperbolic plane and explicitly solve the equation of the curve shortening flow. Next, we consider the class of ancient convex solutio…

math.AP2026

Some minimum principles for a class of nonlinear elliptic problems in divergence form

Cristian Enache, Rafael Lopez

In this paper we study a general class of nonlinear elliptic problems in divergence form. First, we prove that the solutions to these problems satisfy a convexity property when the…

math.DG2023★ 1 cited

Classification of separable hypersurfaces with constant sectional curvature

Muhittin Evren Aydin, Rafael Lopez, Gabriel-Eduard Vilcu

In this paper, we give a full classification of the separable hypersurfaces of constant sectional curvature in the Euclidean -space . In dimension , this clas…

math.DG2009

Constant Scalar Curvature of Three Dimensional Surfaces Obtained by the Equiform Motion of a helix

Ahmad T. Ali, Fathi M. Hamdoon, Rafael Lopez

In this paper we consider the equiform motion of a helix in Euclidean space . We study and analyze the corresponding kinematic three dimensional surface under the hyp…