Prolongations of G-structures related to Weil bundles and some applications
| Autor: | P.M. Kouotchop Wamba, G.F. Wankap Nono, A. Ntyam |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Extracta Mathematicae (2022) |
| Druh dokumentu: | article |
| ISSN: | 0213-8743 2605-5686 |
| Popis: | Let M be a smooth manifold of dimension m ≥ 1 and P be a G-structure on M , where G is a Lie subgroup of linear group GL(m). In [8], it has been defined the prolongations of G-structures related to tangent functor of higher order and some properties have been established. The aim of this paper is to generalize these prolongations to a Weil bundles. More precisely, we study the prolongations of G-structures on a manifold M , to its Weil bundle TAM (A is a Weil algebra) and we establish some properties. In particular, we characterize the canonical tensor fields induced by the A-prolongation of some classical G-structures. |
| Databáze: | Directory of Open Access Journals |
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