Weakly PIC2 conjecture for complete ancient Ricci flows

Let (Mn,g(t))t(,0](M^n,g(t))_{t \in (-\infty,0]} be a complete ancient solution to the Ricci flow with weakly PIC, meaning the stated curvature condition from the source. Weakly PIC2 conjecture. The solution has weakly PIC2_2. This conjecture is stated as a generalization that directly implies the classification conjecture for Ricci shrinkers with weakly PIC. Its status remains open.

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Primary source

Jae Ho Cho and Yu Li, “Ancient solutions to the Ricci flow with isotropic curvature conditions”, arXiv:2005.11866 (2020).

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