https://neckpinch.com/authors/sajjad-lakzian/New arXiv papers by Sajjad Lakzian, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2604.10007/arxiv:2604.10007Sat, 11 Apr 2026 00:00:00 GMTSajjad Lakzian — 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.Ricci flowScalar curvatureWeak & singular flows