Geodesic
Algebraic Connections and Curvature in Fibrations Bundles of Associative Algebras
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 17-21.

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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.
Classification : 15A66, 57R15
Keywords: Algebraic fibration; spinor; co spinor; vector field; field of connection; invariant differentiation; curvature; torsion 
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     author = {Burlakov, Igor M.},
     title = {Algebraic {Connections} and {Curvature} in {Fibrations} {Bundles} of {Associative} {Algebras}},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
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     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {2016},
     zbl = {1367.53012},
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Burlakov, Igor M. Algebraic Connections and Curvature in Fibrations Bundles of Associative Algebras. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 17-21. http://geodesic.mathdoc.fr/item/AUPO_2016__55_2_a1/