2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141747In this short notes, we discuss monotonicity formulas under various rescaled versions of Ricci flow. The main result is Theorem \ref{theo rescaled}.5 pages, one reference and two comments addedDifferential GeometryAnalysis of PDEs58C40; 53C44Monotonicity formulas under rescaled Ricci flowtext