Type-I irreducible ancient Ricci flow solutions are Ricci shrinkers

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Let (Mn,g(t))t∈(−∞,0](M^n,g(t))_{t \in (-\infty,0]} be a κ\kappa-noncollapsed ancient solution to the Ricci flow that is Type-I, irreducible, and complete.

Type-I ancient-solution conjecture. (Mn,g(t))(M^n,g(t)) is isometric to a Ricci shrinker, up to scaling.

The paper proposes this conjecture in the context of classifying ancient solutions to the Ricci flow; its Kähler analogue proved in the paper is presented as a special case. No resolution is given here, so the conjecture remains open.

References

Primary source

Yu Li, “Ancient solutions to the Kähler Ricci flow”, arXiv:2008.06951 (2024).

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