| Title:
|
Some natural operations between connections on fibred manifolds (English) |
| Author:
|
Doupovec, Miroslav |
| Author:
|
Vondra, Alexandr |
| Language:
|
English |
| Journal:
|
Proceedings of the Winter School "Geometry and Physics" |
| Volume:
|
|
| Issue:
|
1994 |
| Year:
|
|
| Pages:
|
[73]-84 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Given a fibered manifold $Y \to X$, a 2-connection on $Y$ means a section $J^1 Y \to J^2 Y$. The authors determine all first order natural operators transforming a 2-connection on $Y$ and a classical linear connection on $X$ into a connection on $J^1 Y \to Y$. (The proof implies that there is no first order natural operator transforming 2-connections on $Y$ into connections on $J^1Y \to Y$.) Using this result, the authors deduce several properties of characterizable connections on $J^1 Y \to X$. (English) |
| MSC:
|
53A55 |
| MSC:
|
53C05 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0858.53020 |
| idMR:
|
MR1396603 |
| . |
| Date available:
|
2009-07-13T21:34:51Z |
| Last updated:
|
2012-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/701566 |
| . |
