The flattened infinitesimal transformations generated by the infinitesimal concircular transformations

摘要

In this work we study the flattening properties of the complete lift of infinitesimal concircular transformation. The tangent bundle is considered as the affinely connected space with the horizontal lift connection. We introduce the concept of the E-lift for a tensor field of arbitrary type which is necessary in the covariant differentiation with respect to the horizontal lift connection.