Ruled Surfaces of Generalized Self-Similar Solutions of the Mean Curvature Flow López Camino, Rafael Mean curvature flow Self-similar solution Ruled surface Separation of variables Partially supported by the Grant No. MTM2017-89677-P, MINECO/AEI/FEDER, UE. In Euclidean space, we investigate surfaces whose mean curvature H satisfies the equation H = alpha N, x + lambda, where N is the Gauss map, x is the position vector, and a and. are two constants. There surfaces generalize self-shrinkers and self-expanders of the mean curvature flow. We classify the ruled surfaces and the translation surfaces, proving that they are cylindrical surfaces. 2021-10-19T08:39:28Z 2021-10-19T08:39:28Z 2021-09-03 info:eu-repo/semantics/article López, R. Ruled Surfaces of Generalized Self-Similar Solutions of the Mean Curvature Flow. Mediterr. J. Math. 18, 197 (2021). [https://doi.org/10.1007/s00009-021-01843-0] http://hdl.handle.net/10481/70966 10.1007/s00009-021-01843-0 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Springer