Article
| Title: | On the invariant variational sequences in mechanics (English) |
| Author: | Šeděnková, Jana |
| Language: | English |
| Journal: | Proceedings of the 22nd Winter School "Geometry and Physics" |
| Volume: | |
| Issue: | 2002 |
| Year: | |
| Pages: | [185]-190 |
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| Category: | math |
| . | |
| Summary: | Summary: The $r$-th order variational sequence is the quotient sequence of the De Rham sequence on the $r$th jet prolongation of a fibered manifold, factored through its contact subsequence.\par In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory of (infinite) variational bicomplexes. (English) |
| MSC: | 37N20 |
| MSC: | 58A20 |
| MSC: | 58E30 |
| MSC: | 70G45 |
| MSC: | 70H03 |
| idZBL: | Zbl 1028.58021 |
| idMR: | MR1982445 |
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| Date available: | 2009-07-13T21:49:48Z |
| Last updated: | 2012-09-18 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/701717 |
| . |
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| Files | Size | Format | View |
|---|---|---|---|
| WSGP_22-2002-1_16.pdf | 715.5Kb | application/pdf |
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