| Title:
|
On Weil Bundles of the First Order (English) |
| Author:
|
Sultanov, Adgam Yakhievich |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2016 |
| Pages:
|
151-155 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The descriptions of Weil bundles, lifts of functions and vector fields are given. Actions of the automorphisms group of the Whitney sum of algebras of dual numbers on a Weil bundle of the first order are defined. (English) |
| Keyword:
|
Weil bundles |
| Keyword:
|
Weil algebra |
| Keyword:
|
smooth manifolds |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 1370.58001 |
| idMR:
|
MR3674607 |
| . |
| Date available:
|
2016-08-30T12:07:06Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145825 |
| . |
| Reference:
|
[1] Vishnevsky, V. V., Shirokov, A. P., Shurygin, V. V.: Spaces over Algebras.. Kazan University Press, Kazan’, 1984. |
| Reference:
|
[2] Kolář, I., Michor, P., Slovák, J.: Natural Operation in Differential Geometry.. Springer-Verlag, Berlin, 1993. MR 1202431 |
| Reference:
|
[3] Weil, A.: Théorie des points proches sur les variétés différentiables.. Colloque de Géometrie Différentielle, C.N.R.S. 52 (1953), 111–117. Zbl 0053.24903, MR 0061455 |
| Reference:
|
[4] Sultanov, A. Ya.: Tensor fields and connections prolongations to Weil bundles.. News of Higher Educational Institutions, Math. 9 (1999), 64–72. MR 1746634 |
| . |
