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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Zbl

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 
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/
@article{AUPO_2016_55_2_a1,
     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},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPO_2016_55_2_a1/}
}
TY  - JOUR
AU  - Burlakov, Igor M.
TI  - Algebraic Connections and Curvature in Fibrations Bundles of Associative Algebras
JO  - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY  - 2016
SP  - 17
EP  - 21
VL  - 55
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AUPO_2016_55_2_a1/
LA  - en
ID  - AUPO_2016_55_2_a1
ER  - 
%0 Journal Article
%A Burlakov, Igor M.
%T Algebraic Connections and Curvature in Fibrations Bundles of Associative Algebras
%J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
%D 2016
%P 17-21
%V 55
%N 2
%U http://geodesic.mathdoc.fr/item/AUPO_2016_55_2_a1/
%G en
%F AUPO_2016_55_2_a1

[1] Dubrovin, B. A., Novikov, S. P., Fomenko, A. T.: Modern geometry (Sovremennaya geometriya). Bull. Amer. Math. Soc. (N.S.) 13, 1 (1985), 62–65, (Nauka, Moscow, 1978, in Russian). | DOI | MR

[2] Burlakov, I. M.: Geometric Structures in Bundles of Associative Algebras. Acta Univ. Palacki. Olomuc., Fac. Rer. Nat., Math. 55, 1 (2016), 31–38. | MR | Zbl

[3] Konopleva, N. P., Popov, V. N.: Kalibrovochnye polya. Atomizdat, Moscow, 1972, (in Russian).

[4] Lomsadze, Yu. M.: Teoretiko-gruppovoe vvedenie v teoriyu elementarnykh chastits. Vysshaia shkola, Moscow, 1962, (in Russian).

[5] Burlakov, M. P., Evtushik, L. E.: Clifford’s structure and Clifford’s differentiation on Riemann spaces. Bull. Moscow Univ. – Math., Mech. 1, 2 (1994), 67–74, (in Russian).