| Title:
|
From Euler-Lagrange equations to canonical nonlinear connections (English) |
| Author:
|
Neagu, Mircea |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
255-263 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to construct a canonical nonlinear connection $\Gamma =(M_{(\alpha )\beta }^{(i)}, N_{(\alpha )j}^{(i)})$ on the 1-jet space $J^{1}(T,M)$ from the Euler-Lagrange equations of the quadratic multi-time Lagrangian function \[ L=h^{\alpha \beta }(t)g_{ij}(t,x)x_{\alpha }^{i}x_{\beta }^{j}+U_{(i)}^{(\alpha )}(t,x)x_{\alpha }^{i}+F(t,x)\,. \] (English) |
| Keyword:
|
1-jet fibre bundles |
| Keyword:
|
nonlinear connections |
| Keyword:
|
quadratic Lagrangian functions |
| MSC:
|
53C80 |
| MSC:
|
70G45 |
| MSC:
|
70S05 |
| idZBL:
|
Zbl 1164.53327 |
| idMR:
|
MR2260385 |
| . |
| Date available:
|
2008-06-06T22:48:22Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108005 |
| . |
| 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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| . |
