Valuable models for immortal solutions of Ricci ow that collapse with bounded curvature come from locally G-invariant solutions on bundles GN ,! M !Bn, with G a nilpotent Lie group. In this paper, we establish convergence and asymptotic stability, modulo smooth
nite-dimensional center manifolds, of certain RN -invariant model solutions. In case N + n = 3, our results are relevant to work of ...