Geodesic
Prolongation of tangent valued forms to Weil bundles
Archivum mathematicum, Tome 31 (1995) no. 2, pp. 139-145.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We prove that the so-called complete lifting of tangent valued forms from a manifold $M$ to an arbitrary Weil bundle over $M$ 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.
Classification : 53C05, 58A20
Keywords: Weil bundle; tangent valued form; Frölicher-Nijenhuis bracket; complete lift; connection; torsion 
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     author = {Cabras, Antonella and Kol\'a\v{r}, Ivan},
     title = {Prolongation of tangent valued forms to {Weil} bundles},
     journal = {Archivum mathematicum},
     pages = {139--145},
     publisher = {mathdoc},
     volume = {31},
     number = {2},
     year = {1995},
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     zbl = {0843.53021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1995__31_2_a4/}
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Cabras, Antonella; Kolář, Ivan. Prolongation of tangent valued forms to Weil bundles. Archivum mathematicum, Tome 31 (1995) no. 2, pp. 139-145. http://geodesic.mathdoc.fr/item/ARM_1995__31_2_a4/