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.
Uniqueness of compact ancient solutions to the higher-dimensional 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.