Geodesic
Special tangent valued forms and the Frölicher-Nijenhuis bracket
Archivum mathematicum, Tome 29 (1993) no. 1-2, pp. 71-82.

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We define the tangent valued $C$-forms for a large class of differential geometric categories. We deduce that the Frölicher-Nijenhuis bracket of two tangent valued $C$-forms is a $C$-form as well. Then we discuss several concrete cases and we outline the relations to the theory of special connections.
Classification : 53C05, 58A20
Keywords: category over manifolds; tangent valued form; Frölicher-Nijenhuis bracket; special connections 
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     author = {Cabras, Antonella and Kol\'a\v{r}, Ivan},
     title = {Special tangent valued forms and the {Fr\"olicher-Nijenhuis} bracket},
     journal = {Archivum mathematicum},
     pages = {71--82},
     publisher = {mathdoc},
     volume = {29},
     number = {1-2},
     year = {1993},
     mrnumber = {1242630},
     zbl = {0801.53014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1993__29_1-2_a9/}
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Cabras, Antonella; Kolář, Ivan. Special tangent valued forms and the Frölicher-Nijenhuis bracket. Archivum mathematicum, Tome 29 (1993) no. 1-2, pp. 71-82. http://geodesic.mathdoc.fr/item/ARM_1993__29_1-2_a9/