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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.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…