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Tensor and spinor equivalence on generalized metric tangent bundles. (English) Zbl 0899.53015

The basic geometric quantities of Finsler and Lagrange spaces are expressed in spinor notation using a standard tensor-spinor homomorphism. The null geodesic equation which is derived might apply to a description of massless particles.

MSC:

53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
81R25 Spinor and twistor methods applied to problems in quantum theory
53Z05 Applications of differential geometry to physics
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