Canonical 1-form associated with a Lie-Rinehart structures on weil bundles
Olivier Mabiala Mikanou, Basile Guy Richard Bossoto
TL;DR
This paper investigates the properties of differential operators on Weil bundles and constructs a canonical 1-form within the framework of Lie-Rinehart algebra structures, advancing the understanding of geometric structures on Weil bundles.
Contribution
It introduces a canonical 1-form associated with Lie-Rinehart structures on Weil bundles, providing new insights into their differential geometric properties.
Findings
Characterization of differential operators on Weil bundles
Construction of the canonical 1-form in Lie-Rinehart context
Enhanced understanding of geometric structures on Weil bundles
Abstract
In this paper, we denote by A a Weil algebra, M a smooth manifold and M^{A} the associated Weil bundle and we study the properties of differential operators on M^{A} and construct the canonical 1-form when M^{A} is provided with a structure of Lie-Rinehart algebra.
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Taxonomy
TopicsAdvanced Topics in Algebra · Cancer Treatment and Pharmacology · Homotopy and Cohomology in Algebraic Topology