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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…