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 |
|