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arXiv · 2604.10007

On weak formulations of (super) Ricci flows

Sajjad Lakzian
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Abstract

We present two characterizations of smooth compact Ricci flow solutions solely in terms of metrics and measures (one of them only works under positive scalar curvature along the flow); thus, provide weak formulations that are generalized to the singular setting in a straightforward manner. These formulations are achieved by weakly formulating super Ricci flows and imposing a saturation condition (solely in terms of metric and measure) to ensure the super Ricci flow inequality is an equality.

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Sajjad Lakzian. 2026-04-11. On weak formulations of (super) Ricci flows. https://arxiv.org/abs/2604.10007

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