ITM Web Conf.
Volume 49, 2022International Conference on Applied Mathematics and Numerical Methods – fourth edition (ICAMNM 2022)
|Number of page(s)||9|
|Section||Differential Equations, Dynamical Systems, Algebra, And Geometry|
|Published online||16 November 2022|
Extended curvatures and Lie pseudoalgebras
Department of Applied Mathematics, University of Craiova, DJ 200585, ROMANIA
2 Doctoral School of Faculty of Applied Sciences, Politehnica University of Bucharest, 060042 Bucharest, Romania
The aim of the paper is to prove that if some extended curvatures on a preinfinitesimal module L, considered in the paper, vanish, then the derived preinfinitesimal module L(1) is a Lie pseudoalgebra. Two non-trivial examples are given. The first example is when L0 is an infinitesimal module and the second one is when L1 is a preinfinitesimal module.
Key words: Lie pseudoalgebra / (pre)infinitesimal module / linear connection / (extended) curvature
© The Authors, published by EDP Sciences, 2022
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