Special Solutions to Mean Curvature Flow on Three-Manifolds with Lie Group Structure

Resumen: In this talk, I will describe the construction of special solutions to the Mean Curvature Flow on three-manifolds endowed with a Lie group structure.
In the first part, I will focus on solutions arising from initial hypersurfaces determined by subgroups. In contrast to the Euclidean setting, this framework admits several nontrivial examples of such solutions. In the second part, I will discuss grim reaper–type solutions in the same geometric context and compare them with previously known examples.