2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115067The Weitzenböck curvature operators are the curvature terms of order zero that appear in the well known classical Weitzenböck formula. In this paper, we use the formalism of double forms to prove a simple formula for this operators and to study their geometric properties.14 pages, no modifications just Weitzenböck's name was misspelledDifferential Geometry53C20; 53C21; 15A75; 15A69text