2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137581Two explicit formulas for metric connections in the bundle of Dirac spinors are studied. Their equivalence is proved. The explicit formula relating the spinor curvature tensor with the Riemann curvature tensor is rederived.AmSTeX, 16 pages, amsppt styleDifferential GeometryGeneral Relativity and Quantum CosmologyHigh Energy Physics - PhenomenologyHigh Energy Physics - TheoryMathematical Physics53B15, 81T20, 83C47text