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Ancient solutions of Ricci flow on spheres and generalized Hopf fibrations
Ancient solutions arise in the study of Ricci flow singularities. Motivated by the work of Fateev on 3-dimensional ancient solutions we construct high dimensional ancient solutions to Ricci flow on spheres and complex projective spaces as well as the twistor spaces over a compact quaternion-Kähler manifold. Differing from Fateev's examples …