Universal Journal of Mathematics and Mathematical Sciences
Volumes 7, Issue 2, Pages 91 - 105
(April 2015) http://dx.doi.org/10.17654/UJMMSApr2015_091_105 |
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LIE-RINEHART STRUCTURES ON WEIL BUNDLES
Olivier Mabiala Mikanou and Basile Guy Richard Bossoto
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Abstract: In this paper, we denote by a Weil algebra, M a smooth manifold and the associated Weil bundle. We study the properties of differential operators on and construct the canonical 1-form when is provided with a structure of Lie-Rinehart algebra. |
Keywords and phrases: Weil bundle, first order differential operator, Lie-Rinehart algebra. |
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