κ-solutions with round cylinder asymptotic shrinker are uniformly PIC, implying classification as the round shrinking cylinder, Bryant steady soliton, or Perelman's ancient solution.
Hamilton's Ricci flow
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$\kappa$-solutions with the round cylinder as an asymptotic shrinker
κ-solutions with round cylinder asymptotic shrinker are uniformly PIC, implying classification as the round shrinking cylinder, Bryant steady soliton, or Perelman's ancient solution.