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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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},
     pages = {17--21},
     year = {2016},
     volume = {55},
     number = {2},
     zbl = {1367.53012},
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     url = {http://geodesic.mathdoc.fr/item/AUPO_2016_55_2_a1/}
}
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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/