2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170633Chau-Tam-Yu has proved the non-positivity of Perelman's new Li-Yau-Hamilton type expression on noncompact manifolds. In this article, we further prove that $v$ is negative if the Ricci flow is not end up with an Euclidean space.4 pagesDifferential Geometrytext