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This article grew out of the urge to realize explicit examples of solutionsfor the Ricci flow as families of isometrically embedded submanifolds, togetherwith its Gromov-Hausdorff collapses. To this aim, we consider the Ricci flow ofinvariant metrics in a class of flag manifolds.  On the one hand, we contrast with a previous result in literature bypresenting entire flow lines of invariant metrics realized as orbits of a fixedrepresentation. Indeed, we prove that the subset of realizable metrics has aglobal attractor with open interior, containing an expressive family ofcomplete flow lines. On the other hand, we prove that certain collapses cannotbe realized in any fixed Euclidean space.  We provide a detailed picture of the flow, including examples of bothrealizable and non-realizable flow lines and collapses.

On the embeddability of the homogeneous Ricci flow and its collapses