Prolongations of G-structures related to Weil bundles and some applications
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 t...
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| Format: | Article |
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University of Extremadura
2022-02-01
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| Series: | Extracta Mathematicae |
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| Online Access: | https://publicaciones.unex.es/index.php/EM/article/view/1077 |
| _version_ | 1818281986144337920 |
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| author | P.M. Kouotchop Wamba G.F. Wankap Nono A. Ntyam |
| author_facet | P.M. Kouotchop Wamba G.F. Wankap Nono A. Ntyam |
| author_sort | P.M. Kouotchop Wamba |
| collection | DOAJ |
| description |
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.
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| first_indexed | 2024-12-13T00:13:50Z |
| format | Article |
| id | doaj.art-0ad33829555e47a28b417bb31b737595 |
| institution | Directory Open Access Journal |
| issn | 0213-8743 2605-5686 |
| language | English |
| last_indexed | 2024-12-13T00:13:50Z |
| publishDate | 2022-02-01 |
| publisher | University of Extremadura |
| record_format | Article |
| series | Extracta Mathematicae |
| spelling | doaj.art-0ad33829555e47a28b417bb31b7375952022-12-22T00:05:52ZengUniversity of ExtremaduraExtracta Mathematicae0213-87432605-56862022-02-01Prolongations of G-structures related to Weil bundles and some applicationsP.M. Kouotchop Wamba0G.F. Wankap Nono1A. Ntyam2Department of Mathematics, Higher Teacher Training college University of Yaoundé 1, PO.BOX 47 Yaoundé, CameroonDepartment of Mathematics and Computer Science, Faculty of Science University of Ngaoundéré, PO.BOX 454 Ngaoundéré, CameroonDepartment of Mathematics, Higher Teacher Training college University of Yaoundé 1, PO.BOX 47 Yaoundé, Cameroon 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. https://publicaciones.unex.es/index.php/EM/article/view/1077G-structuresWeil-Frobenius algebrasWeil functorsgauge functors and natural transformations |
| spellingShingle | P.M. Kouotchop Wamba G.F. Wankap Nono A. Ntyam Prolongations of G-structures related to Weil bundles and some applications Extracta Mathematicae G-structures Weil-Frobenius algebras Weil functors gauge functors and natural transformations |
| title | Prolongations of G-structures related to Weil bundles and some applications |
| title_full | Prolongations of G-structures related to Weil bundles and some applications |
| title_fullStr | Prolongations of G-structures related to Weil bundles and some applications |
| title_full_unstemmed | Prolongations of G-structures related to Weil bundles and some applications |
| title_short | Prolongations of G-structures related to Weil bundles and some applications |
| title_sort | prolongations of g structures related to weil bundles and some applications |
| topic | G-structures Weil-Frobenius algebras Weil functors gauge functors and natural transformations |
| url | https://publicaciones.unex.es/index.php/EM/article/view/1077 |
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