Convergence and Stability of Locally R -invariant Solutions of Ricci Flow

  title={Convergence and Stability of Locally R -invariant Solutions of Ricci Flow},
  author={DAN KNOPF},
  • Published 2008
Valuable models for immortal solutions of Ricci flow that collapse with bounded curvature come from locally G-invariant solutions on bundles GN →֒ M π −→Bn, with G a nilpotent Lie group. In this paper, we establish convergence and asymptotic stability, modulo smooth finite-dimensional center manifolds, of certain RN -invariant model solutions. In case N + n = 3, our results are relevant to work of Lott classifying the asymptotic behavior of all 3-dimensional Ricci flow solutions whose sectional… CONTINUE READING

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