Finslerian 4-spinors as a generalization of twistors

Details Finslerian 4-spinors as a generalization of twistors Finslerian 4-spinors as a generalization of twistors

2006-11-02

arxiv.org/abs/math-ph/0611007v1

"Space-Time Structure". Collected papers, ed. D.G. Pavlov (Moscow, TETRU, 2006), p.249-256.

Physics

Mathematical Physics

9 pages, LaTeX-2e, no figures, to be published in "The structure of space-time"

Scientific paper

The main facts of the geometry of Finslerian 4-spinors are formulated. It is shown that twistors are a special case of Finslerian 4-spinors. The close connection between Finslerian 4-spinors and the geometry of a 16-dimensional vector Finslerian space is established. The isometry group of this space is described. The procedure of dimensional reduction to 4-dimensional quantities is formulated.

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