2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172019A gradient Ricci soliton is a triple $(M,g,f)$ satisfying $R_{ij}+\nabla_i\nabla_j f=λg_{ij}$ for some real number $λ$. In this paper, we will show that the completeness of the metric $g$ implies that of the vector field $\nabla f$.5 pagesDifferential Geometrytext