Prolongations of G-structures related to Weil bundles and some applications

Autores/as

  • P.M. Kouotchop Wamba Department of Mathematics, Higher Teacher Training college University of Yaoundé 1, PO.BOX 47 Yaoundé, Cameroon
  • G.F. Wankap Nono Department of Mathematics and Computer Science, Faculty of Science University of Ngaoundéré, PO.BOX 454 Ngaoundéré, Cameroon
  • A. Ntyam Department of Mathematics, Higher Teacher Training college University of Yaoundé 1, PO.BOX 47 Yaoundé, Cameroon

DOI:

https://doi.org/10.17398/2605-5686.37.1.111

Palabras clave:

G-structures, Weil-Frobenius algebras, Weil functors, gauge functors and natural transformations

Resumen

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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Referencias

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Publicado

2022-06-01

Número

Vol. 37 Núm. 1 (2022)

Sección

Differential Geometry

Cómo citar

Prolongations of G-structures related to Weil bundles and some applications. (2022). Extracta Mathematicae, 37(1), 111-138. https://doi.org/10.17398/2605-5686.37.1.111