| Title:
|
Natural transformations transforming functions and vector fields to functions on some natural bundles (English) |
| Author:
|
Mikulski, W. M. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
217-223 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A classification of natural transformations transforming functions (or vector fields) to functions on such natural bundles which are restrictions of bundle functors is given. (English) |
| Keyword:
|
natural transformations |
| Keyword:
|
natural bundles |
| Keyword:
|
bundle functors |
| MSC:
|
53A55 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0810.58004 |
| idMR:
|
MR1165899 |
| DOI:
|
10.21136/MB.1992.125905 |
| . |
| Date available:
|
2009-09-24T20:52:46Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125905 |
| . |
| Reference:
|
[1] J. Gancarzewicz: Lifting of functions and vector fields to natural bundles.Dissertationes Mathematicae, 1982. MR 0663216 |
| Reference:
|
[2] T. Klein: Connections on higher order tangent bundles.Čas. Pěst. Mat. 106 (1981), 414-421. Zbl 0497.58003, MR 0637822 |
| Reference:
|
[3] I. Kolář J. Slovák: On the geometric functors on manifolds.Proceedings of the Winter School on Geometry and Physics, Sгní 1988, Suppl. Rendiconti Ciгcolo Mat. Palermo, Serie II, vol. 21, 1989, pp. 223-233. MR 1009575 |
| Reference:
|
[4] A. Morimoto: Prolongation of connections to tangent bundles of infinitely neaг points.Ј. Diff. Geometгy 11 (1976), 479-498. MR 0445422 |
| Reference:
|
[5] A. Nijenhuis: Natural bundles and theiг general pгoperties.Diffeгential Geometry, Kinokuniya, Tokio, 1972, pp. 317-343. MR 0380862 |
| . |
