# Special tangent valued forms and the Frölicher-Nijenhuis bracket

Archivum Mathematicum (1993)

- Volume: 029, Issue: 1-2, page 71-82
- ISSN: 0044-8753

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topCabras, Antonella, and Kolář, Ivan. "Special tangent valued forms and the Frölicher-Nijenhuis bracket." Archivum Mathematicum 029.1-2 (1993): 71-82. <http://eudml.org/doc/247446>.

@article{Cabras1993,

abstract = {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.},

author = {Cabras, Antonella, Kolář, Ivan},

journal = {Archivum Mathematicum},

keywords = {category over manifolds; tangent valued form; Frölicher-Nijenhuis bracket; special connections; connections; tangent valued -forms; Frölicher-Nijenhuis bracket},

language = {eng},

number = {1-2},

pages = {71-82},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Special tangent valued forms and the Frölicher-Nijenhuis bracket},

url = {http://eudml.org/doc/247446},

volume = {029},

year = {1993},

}

TY - JOUR

AU - Cabras, Antonella

AU - Kolář, Ivan

TI - Special tangent valued forms and the Frölicher-Nijenhuis bracket

JO - Archivum Mathematicum

PY - 1993

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 029

IS - 1-2

SP - 71

EP - 82

AB - 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.

LA - eng

KW - category over manifolds; tangent valued form; Frölicher-Nijenhuis bracket; special connections; connections; tangent valued -forms; Frölicher-Nijenhuis bracket

UR - http://eudml.org/doc/247446

ER -

## References

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- Remarks on the Frölicher-Nijenhuis bracket, Diff. Geom. and Its Applications, Proc. Conf. J.E. Purkyně University, Brno (1987), 197-220. (1987) Zbl0633.53024MR0923350
- Systems of vector valued forms on a fibred manifold and applications to gauge theories, Proc. Conf. Diff. Geom. Math. in Math. Phys., Salamanca 1985, Lect. Not. Math. 1251, Springer, 1987, 238-264. Zbl0614.53072MR0897122

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