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dc.contributor.author | Shurygin V. | |
dc.date.accessioned | 2018-09-17T21:59:01Z | |
dc.date.available | 2018-09-17T21:59:01Z | |
dc.date.issued | 2005 | |
dc.identifier.issn | 1995-0802 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/135682 | |
dc.description.abstract | In the present paper, we construct complete lifts of covariant and contravariant tensor fields from the smooth manifold M to its Weil bundle T AM for the case of a Frobenius Weil algebra A. For a Poisson manifold (M, w) we show that the complete lift w C of a Poisson tensor w is again a Poisson tensor on T AM and that w C is a linear combination of some "basic" Poisson structures on T AM induced by w. Finally, we introduce the notion of a weakly symmetric Frobenius Weil algebra A and we compute the modular class of (T AM, w C) for such algebras. | |
dc.relation.ispartofseries | Lobachevskii Journal of Mathematics | |
dc.subject | Modular class | |
dc.subject | Poisson structure | |
dc.subject | Weil algebra | |
dc.subject | Weil functor | |
dc.title | Poisson structures on Weil bundles | |
dc.type | Article | |
dc.relation.ispartofseries-volume | 17 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 229 | |
dc.source.id | SCOPUS19950802-2005-17-SID22744454098 |