| Title:
|
Prolongation of second order connections to vertical Weil bundles (English) |
| Author:
|
Cabras, Antonella |
| Author:
|
Kolář, Ivan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
2001 |
| Pages:
|
333-347 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study systematically the prolongation of second order connections in the sense of C. Ehresmann from a fibered manifold into its vertical bundle determined by a Weil algebra $A$. In certain situations we deduce new properties of the prolongation of first order connections. Our original tool is a general concept of a $B$-field for another Weil algebra $B$ and of its $A$-prolongation. (English) |
| Keyword:
|
non-holonomic jet |
| Keyword:
|
Weil bundle |
| Keyword:
|
Weil field |
| Keyword:
|
second order connection |
| Keyword:
|
prolongation of connections |
| MSC:
|
53C05 |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1090.58003 |
| idMR:
|
MR1879456 |
| . |
| Date available:
|
2008-06-06T22:29:32Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107811 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Cabras, A., Kolář, I.: Second order connections on some functional bundles.Arch. Math. (Brno) 35 (1999), 347–365. MR 1744522 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
