| Title:
|
Geometric Structures in Bundlesof Associative Algebras (English) |
| Author:
|
Burlakov, Igor M. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2016 |
| Pages:
|
27-30 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The article deals with bundles of linear algebra as a specifications of the case of smooth manifold. It allows to introduce on smooth manifold a metric by a natural way. The transfer of geometric structure arising in the linear spaces of associative algebras to a smooth manifold is also presented. (English) |
| Keyword:
|
Geometric structures |
| Keyword:
|
bundles of linear algebra |
| Keyword:
|
vector bundles on smooth manifolds |
| MSC:
|
15A66 |
| MSC:
|
53B30 |
| MSC:
|
57R15 |
| idZBL:
|
Zbl 1367.53011 |
| idMR:
|
MR3674596 |
| . |
| Date available:
|
2016-08-30T11:51:18Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145813 |
| . |
| Reference:
|
[1] Vishnevsky, V. V., Shirokov, A. P., Shurigin, V. V.: Spaces over Algebras.. Kazan University, Kazan, 1965. |
| Reference:
|
[2] Dubrovin, B. A., Novikov, S. P., Fomenko, A. T.: Modern Geometry.. Nauka, Moscow, 1978. |
| Reference:
|
[3] Penrose, R., Rindler, W.: Spinors and Space-time.. Mir, Moscow, 1987. Zbl 0663.53013, MR 0908073 |
| . |
