Applications of the double and the dual numbers. The Bianchi models

G. F. Torres del Castillo

Abstract


We show that by using complex, double, and dual numbers one can find the invariant one-forms employed in the metrics of the Bianchi cosmological models. The result is equivalent to find, locally, all the Lie groups of dimension three.

Keywords


Double numbers; dual numbers; cosmology; Lie groups.

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References


G.F. Torres del Castillo, {it Rev. Mex. Fis. E} {bf 65} (2019) 152.

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DOI: https://doi.org/10.31349/RevMexFisE.17.146

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Revista Mexicana de Física E

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