Geodesic
Prolongation of tangent valued forms to Weil bundles
Archivum mathematicum, Tome 31 (1995) no. 2, pp. 139-145 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     title = {Prolongation of tangent valued forms to {Weil} bundles},
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     pages = {139--145},
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     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/

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