Form of presentation | Articles in Russian journals and collections |
Year of publication | 2012 |
Язык | английский |
|
Shurygin Vadim Vadimovich, author
|
Bibliographic description in the original language |
Lifts of Poisson structures to Weil bundle. Lobachevskii J. Math., 2012, Vol. 33, No. 1, pp. 75-107. |
Annotation |
Lobachevskii Journal of Mathematics |
Keywords |
Poisson structure, modular class, Weil algebra, Weil bundle, Frobenius
algebra, complete lift, vertical lift. |
The name of the journal |
Lobachevskii Journal of Mathematics
|
Please use this ID to quote from or refer to the card |
https://repository.kpfu.ru/eng/?p_id=40162&p_lang=2 |
Full metadata record ![](https://shelly.kpfu.ru/pdf/picture/arrow_black_right.gif) |
Field DC |
Value |
Language |
dc.contributor.author |
Shurygin Vadim Vadimovich |
ru_RU |
dc.date.accessioned |
2012-01-01T00:00:00Z |
ru_RU |
dc.date.available |
2012-01-01T00:00:00Z |
ru_RU |
dc.date.issued |
2012 |
ru_RU |
dc.identifier.citation |
Lifts of Poisson structures to Weil bundle. Lobachevskii J. Math., 2012, Vol. 33, No. 1, pp. 75-107. |
ru_RU |
dc.identifier.uri |
https://repository.kpfu.ru/eng/?p_id=40162&p_lang=2 |
ru_RU |
dc.description.abstract |
Lobachevskii Journal of Mathematics |
ru_RU |
dc.description.abstract |
Lobachevskii Journal of Mathematics |
ru_RU |
dc.description.abstract |
In the present paper, we study complete and vertical lifts of tensor fields from a smooth manifold M to its Weil bundle T^AM defined by a Frobenius Weil algebra A. For a Poisson manifold (M,w), we show that the complete lift w^C and the vertical lift w^V of the Poisson tensor w are Poisson tensors on T^AM and establish their properties. We prove that the complete and the vertical lifts induce homomorphisms of the Poisson cohomology spaces. We compute the modular classes of the lifts of Poisson structures. |
ru_RU |
dc.language.iso |
ru |
ru_RU |
dc.subject |
Poisson structure |
ru_RU |
dc.subject |
modular class |
ru_RU |
dc.subject |
Weil algebra |
ru_RU |
dc.subject |
Weil bundle |
ru_RU |
dc.subject |
Frobenius
algebra |
ru_RU |
dc.subject |
complete lift |
ru_RU |
dc.subject |
vertical lift. |
ru_RU |
dc.title |
Lifts of Poisson structures to Weil bundle |
ru_RU |
dc.type |
Articles in Russian journals and collections |
ru_RU |
|