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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2009, Volume 151, Book 4, Pages 203–214 (Mi uzku779)  
This article is cited in 1 scientific paper (total in 1 paper)

Lifts of Poisson–Nijenhuis Structures to Weil Bundles

V. V. Shurygin (jr.)

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
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Abstract: In the present paper we show that the complete lifts of the structure tensors $P$ and $N$ of a Poisson–Nijenhuis manifold $(M,P,N)$ to the Weil bundle $T^\mathbb AM$ induce a structure of Poisson–Nijenhuis manifold on $T^\mathbb AM$. We compute the modular vector fields of this manifold.
Keywords: Poisson–Nijenhuis manifold, modular class, Weil algebra, Weil bundle, complete lift, vertical lift.
Received: 21.05.2009
Document Type: Article
UDC: 514.763.25
Language: Russian
Citation: V. V. Shurygin (jr.), “Lifts of Poisson–Nijenhuis Structures to Weil Bundles”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 4, Kazan University, Kazan, 2009, 203–214
Citation in format AMSBIB
\Bibitem{Shu09}
\by V.~V.~Shurygin (jr.)
\paper Lifts of Poisson--Nijenhuis Structures to Weil Bundles
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2009
\vol 151
\issue 4
\pages 203--214
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku779}
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    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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