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Algebraic connections and curvature in fibrations bundles of associative algebras. (English) Zbl 1367.53012

Summary: In this article fibrations of associative algebras on smooth manifolds are investigated. Sections of these fibrations are spinor, co spinor and vector fields with respect to a gauge group. Invariant differentiations are constructed and curvature and torsion of invariant differentiations are calculated.

MSC:

53A35 Non-Euclidean differential geometry
57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
15A66 Clifford algebras, spinors
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