Christoffel formula and geodesic motion in hyperspin manifolds (Q1085804)

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scientific article; zbMATH DE number 3984031
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Christoffel formula and geodesic motion in hyperspin manifolds
scientific article; zbMATH DE number 3984031

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    Christoffel formula and geodesic motion in hyperspin manifolds (English)
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    1986
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    The author considers a hyperspin manifold \(S_ N\) constructed from N component hyperspinors as an alternate formalism for higher dimensional Kaluza-Klein field theories. He derives a hyper-Christoffel formula which connects the chronometric and the connection in the case when the former is covariantly constant and the latter is torsion-free. This permits the chronometric to be employed as the sole dynamical variable, and the properties of extremals and self-parallel curves are investigated.
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    hyperspin manifold
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    hyperspinors
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    chronometric
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