Publication details

Some applications of the Mangiarotti-Modugno formula for tangent-valued forms

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Authors

KOLÁŘ Ivan

Year of publication 2014
Type Article in Periodical
Magazine / Source International Journal of Geometric Methods in Modern Physics
MU Faculty or unit

Faculty of Science

Citation
Web https://doi.org/10.1142/S0219887814600226
Doi http://dx.doi.org/10.1142/S0219887814600226
Keywords General connection; vertical prolongation of connections; Frolicher-Nijenhuis bracket; Weil bundle; torsion
Description First, we present a classical approach to the general connections on arbitrary fibered manifolds. Then we compare this approach with the use of the Frolicher-Nijenhuis bracket by Mangiarotti and Modugno [Graded Lie algebras and connections on a fibered space, J. Math. Pures Appl. 63 (1984) 111-120]. Finally, we demonstrate that the latter viewpoint is very efficient in the theory of torsions of connections on Weil bundles.
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