| Title:
|
Non-existence of natural operators transforming connections on $Y \to M$ into connections on $FY\to Y$ (English) |
| Author:
|
Mikulski, W. M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
1-4 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Under some weak assumptions on a bundle functor $F:FM_{m,n}\rightarrow FM$ we prove that there is no $FM_{m,n}$-natural operator transforming connections on $Y\rightarrow M$ into connections on $FY\rightarrow Y$. (English) |
| Keyword:
|
bundle functors |
| Keyword:
|
natural bundles |
| Keyword:
|
natural operators |
| Keyword:
|
connections |
| MSC:
|
58A05 |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1112.58006 |
| idMR:
|
MR2142138 |
| . |
| Date available:
|
2008-06-06T22:44:54Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107930 |
| . |
| Reference:
|
[1] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry.Springer-Verlag, Berlin 1993. MR 1202431 |
| . |
