2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148837A general expression is given for the quintic Lovelock tensor as well as for the coefficient of the quintic Lovelock Lagrangian in terms of the Riemann-Christoffel and Ricci curvature tensors and the Riemann curvature scalar for n-dimensional differentiable manifolds having a general linear connection.PostScript file, 4 pages. Typos corrected, writing improved, reference added, main equations left unchangedGeneral Relativity and Quantum Cosmologytext