| Title:
|
Natural transformations of the covelocities functors into some natural bundles (English) |
| Author:
|
Mikulski, W. M. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
118 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
277-280 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper are determined all natural transformations of the natural bundle of $(g,r)$-covelocities over $n$-manifolds into such a linear natural bundle over $n$-manifolds which is dual to the restriction of a linear bundle functor, if $n\geq q$. (English) |
| Keyword:
|
covelocities functors |
| Keyword:
|
natural transformations |
| Keyword:
|
natural bundle |
| MSC:
|
53A55 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0786.58001 |
| idMR:
|
MR1239122 |
| DOI:
|
10.21136/MB.1993.125923 |
| . |
| Date available:
|
2009-09-24T21:00:05Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125923 |
| . |
| Reference:
|
[1] J. Boman: Differentiability of functions and of its compositions with functions of one variable.Math. Scand. 20 (1967), 249-268. MR 0237728, 10.7146/math.scand.a-10835 |
| 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, Srní 1988, Suppl. Rendiconti Circolo Mat. Palermo, Serie II 21, 1989, pp. 223-233. MR 1009575 |
| Reference:
|
[4] J. Kurek: Natural transformations of higher order covelocities functor.Annales UMCS to appear. Zbl 0778.53016, MR 1322141 |
| Reference:
|
[5] A. Nijenhuis: Natural bundles and their general properties.Differential Geometry in Honor of K. Yano, Kinokuniya, Tokio, 1972, pp. 317-343. Zbl 0246.53018, MR 0380862 |
| . |
