2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/200560We discuss the correspondence between the DGP brane cosmology and 5D Ricci-flat cosmology by letting their metrics equal each other. By this correspondence, a specific geometrical property of the arbitrary integral constant I in DGP metric is given and it is related to the curvature of 5D bulk. At the same time, the relation of arbitrary functions $μ$ and $ν$ in a class of Ricci-flat solutions is obtained from DGP brane metric.8 pages, 1 figure, accepted by MPLA, added referenceGeneral Relativity and Quantum Cosmologytext