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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…
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…
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…
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…