Complete lifts of derivations to tensor bundles
The authors study the complete lifts of derivations on an \(n\)-dimensional differentiable manifold \(M\) of class \(C^\infty\), and consider some geometric applications of the tangent bundle. Contents include: an introduction; vertical lifts of tensor fields and the \(\gamma\)-operator; complete lifts of derivations and \(\gamma\)-operator; complete lifts of Lie derivations; complete lifts of covariant derivations; and complete lifts of derivations determined by the curvature operator.
scientific article; zbMATH DE number 1809799