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RICCI LOWER BOUND FOR KÄHLER–RICCI FLOW

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We provide general discussion on the lower bound of Ricci curvature along Kähler–Ricci flows over closed manifolds. The main result is the non-existence of Ricci lower bound for flows with finite time singularities and non-collapsed global volume. As an application, we give examples showing that positivity of Ricci curvature would not be preserved by Ricci flow in general.
Title: RICCI LOWER BOUND FOR KÄHLER–RICCI FLOW
Description:
We provide general discussion on the lower bound of Ricci curvature along Kähler–Ricci flows over closed manifolds.
The main result is the non-existence of Ricci lower bound for flows with finite time singularities and non-collapsed global volume.
As an application, we give examples showing that positivity of Ricci curvature would not be preserved by Ricci flow in general.

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