Structure d’Algèbre de Lie-Rinehart sur un Feuilletage en Géométrie tangente.
Let M be a differential manifold, F a foliation over M, and X(F) be the set of vector fields tangent to the leaves. We equip the set X(F) of fields tangent to the leaves with a Lie-Rinehart algebra structure and then determine the canonical 1-forme associated with this Lie-Rinehart algebra structure.
Authors
- Samuel NDIMBA DIANGITUKULU
- Michel-charmy ONYA OMALOHOSO EMONGO
- Alain LANDA MUSESA
- Joseph KIKWASINI MPULU
Publication Details
- Journal
- Journal africain des sciences.
- Published
- 2025-03-01
- DOI
- https://doi.org/10.70237/jafrisci.2025.v2.i1.15
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00