| Title:
|
Order reduction of the Euler-Lagrange equations of higher order invariant variational problems on frame bundles (English) |
| Author:
|
Brajerčík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
1063-1076 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\mu \colon FX \to X$ be a principal bundle of frames with the structure group ${\rm Gl}_{n}(\mathbb R)$. It is shown that the variational problem, defined by ${\rm Gl}_{n}(\mathbb R)$-invariant Lagrangian on $J^{r} FX$, can be equivalently studied on the associated space of connections with some compatibility condition, which gives us order reduction of the corresponding Euler-Lagrange equations. (English) |
| Keyword:
|
Frame bundle |
| Keyword:
|
Euler-Lagrange equations |
| Keyword:
|
invariant Lagrangian |
| Keyword:
|
Euler-Poincaré reduction |
| MSC:
|
53C05 |
| MSC:
|
53C10 |
| MSC:
|
58A20 |
| MSC:
|
58E30 |
| idZBL:
|
Zbl 1249.53029 |
| idMR:
|
MR2886257 |
| DOI:
|
10.1007/s10587-011-0048-4 |
| . |
| Date available:
|
2011-12-16T15:48:36Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141807 |
| . |
| 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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| . |
