Cohomology of the variational complex in the class of exterior forms of finite jet order
We obtain the cohomology of the variational complex on the infinite-order jet space of a smooth fiber bundle in the class of exterior forms of finite jet order. In particular, this provides a solution of the global inverse problem of the calculus of variations of finite order on fiber bundles.
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202012097 |
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| _version_ | 1832556347614298112 |
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| author | Gennadi Sardanashvily |
| author_facet | Gennadi Sardanashvily |
| author_sort | Gennadi Sardanashvily |
| collection | DOAJ |
| description | We obtain the cohomology of the variational complex on the
infinite-order jet space of a smooth fiber bundle in the class of
exterior forms of finite jet order. In particular, this provides
a solution of the global inverse problem of the calculus of
variations of finite order on fiber bundles. |
| format | Article |
| id | doaj-art-9bbdf665057340be930bc7cd76332303 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9bbdf665057340be930bc7cd763323032025-02-03T05:45:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01301394710.1155/S0161171202012097Cohomology of the variational complex in the class of exterior forms of finite jet orderGennadi Sardanashvily0Department of Theoretical Physics, Moscow State University, Moscow 117234, RussiaWe obtain the cohomology of the variational complex on the infinite-order jet space of a smooth fiber bundle in the class of exterior forms of finite jet order. In particular, this provides a solution of the global inverse problem of the calculus of variations of finite order on fiber bundles.http://dx.doi.org/10.1155/S0161171202012097 |
| spellingShingle | Gennadi Sardanashvily Cohomology of the variational complex in the class of exterior forms of finite jet order International Journal of Mathematics and Mathematical Sciences |
| title | Cohomology of the variational complex in the class of exterior forms of finite jet order |
| title_full | Cohomology of the variational complex in the class of exterior forms of finite jet order |
| title_fullStr | Cohomology of the variational complex in the class of exterior forms of finite jet order |
| title_full_unstemmed | Cohomology of the variational complex in the class of exterior forms of finite jet order |
| title_short | Cohomology of the variational complex in the class of exterior forms of finite jet order |
| title_sort | cohomology of the variational complex in the class of exterior forms of finite jet order |
| url | http://dx.doi.org/10.1155/S0161171202012097 |
| work_keys_str_mv | AT gennadisardanashvily cohomologyofthevariationalcomplexintheclassofexteriorformsoffinitejetorder |