Publication details
Some applications of the Mangiarotti-Modugno formula for tangent-valued forms
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Geometric Methods in Modern Physics |
| MU Faculty or unit | |
| 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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