2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64520Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbits and some applications: eg, finding minimal orbits. We then specialize to Lagrangian orbits in Kaehler manifolds. In particular, in the Kaehler-Einstein case we find a relation between MCF and moment maps which, for example, proves that the minimal Lagrangian orbits are isolated.18 pages; minor changesDifferential Geometry53C44; 53C42; 53D20Mean Curvature Flow, Orbits, Moment Mapstext