| Title:
|
Algebraic Connections and Curvature in Fibrations Bundles of Associative Algebras (English) |
| Author:
|
Burlakov, Igor M. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2016 |
| Pages:
|
17-21 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Algebraic fibration |
| Keyword:
|
spinor |
| Keyword:
|
co spinor |
| Keyword:
|
vector field |
| Keyword:
|
field of connection |
| Keyword:
|
invariant differentiation |
| Keyword:
|
curvature |
| Keyword:
|
torsion |
| MSC:
|
15A66 |
| MSC:
|
57R15 |
| idZBL:
|
Zbl 1367.53012 |
| . |
| Date available:
|
2017-03-16T12:36:25Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146057 |
| . |
| Reference:
|
[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). MR 0566582, 10.1090/S0273-0979-1985-15366-2 |
| Reference:
|
[2] Burlakov, I. M.: Geometric Structures in Bundles of Associative Algebras.. Acta Univ. Palacki. Olomuc., Fac. Rer. Nat., Math. 55, 1 (2016), 31–38. Zbl 1367.53011, MR 3674596 |
| Reference:
|
[3] Konopleva, N. P., Popov, V. N.: Kalibrovochnye polya.. Atomizdat, Moscow, 1972, (in Russian). |
| Reference:
|
[4] Lomsadze, Yu. M.: Teoretiko-gruppovoe vvedenie v teoriyu elementarnykh chastits.. Vysshaia shkola, Moscow, 1962, (in Russian). |
| Reference:
|
[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). |
| . |
