Higher order reduction theorems for classical connections and natural (0,2)-tensor fields on the cotangent bundle

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71153We generalize reduction theorems for classical connections to operators with values in $k$-th order natural bundles. Using the first reduction theorem in order two we classify all (0,2)-tensor fields on the cotangent bundle of a manifold with a linear (non-symmetric) connection.Differential Geometry53C05, 58A32, 58A20Higher order reduction theorems for classical connections and natural (0,2)-tensor fields on the cotangent bundletext