Geodesic
Finslerian 3-spinors and the generalized Duffin–Kemmer equation
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 6, pp. 201-210 Cet article a éte moissonné depuis la source Math-Net.Ru

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The main facts of the geometry of Finslerian 3-spinors are formulated. The close connection between Finslerian 3-spinors and vectors of the 9-dimensional linear Finslerian space is established. The isometry group of this space is described. The procedure of dimensional reduction to 4-dimensional quantities is formulated. The generalized Duffin–Kemmer equation for a Finslerian 3-spinor wave function of a free particle in the momentum representation is obtained. From the viewpoint of a 4-dimensional observer, this 9-dimensional equation splits into the standard Dirac and Klein–Gordon equations. 
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A. V. Solov'yov. Finslerian 3-spinors and the generalized Duffin–Kemmer equation. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 6, pp. 201-210. http://geodesic.mathdoc.fr/item/FPM_2009_15_6_a12/

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