Prolongation of tangent valued forms to Weil bundles
Antonella Cabras, Ivan Kolář (1995)
Archivum Mathematicum
Similarity:
We prove that the so-called complete lifting of tangent valued forms from a manifold to an arbitrary Weil bundle over preserves the Frölicher-Nijenhuis bracket. We also deduce that the complete lifts of connections are torsion-free in the sense of M. Modugno and the second author.