2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152698For a simplicial manifold we construct the differential geometry structure and use it to investigate linear connections, metric and gravity. We discuss and compare three main approaches and calculate the resulting gravity action functionals.LaTeX2e, uses AMS-LaTeX package, 25 pagesHigh Energy Physics - TheoryHigh Energy Physics - LatticeQuantum AlgebraNoncommutative Differential Geometry and Connections on Simplicial Manifoldstext