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Lobachevskii Journal of Mathematics, 1999, Volume 4, Pages 5–11 (Mi ljm148)  
A survey of Nambu–Poisson geometry

N. Nakanishi
Full-text PDF (119 kB)
Abstract: We survey geometry of Nambu–Poisson manifolds. First we recall Nambu's work which is the origin of Nambu–Poisson geometry. Next adopting Takhtajan's geometric formulation and applying the local structure theorem of Nambu–Poisson tensors, we study the projectability of left invariant Nambu–Poisson tensors on Lie groups to certain homogeneous spaces.
Submitted by: B. N. Shapukov
Received: 27.07.1999
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Language: English
Citation: N. Nakanishi, “A survey of Nambu–Poisson geometry”, Lobachevskii J. Math., 4 (1999), 5–11
Citation in format AMSBIB
\Bibitem{Nak99}
\by N.~Nakanishi
\paper A~survey of Nambu--Poisson geometry
\jour Lobachevskii J. Math.
\yr 1999
\vol 4
\pages 5--11
\mathnet{http://mi.mathnet.ru/ljm148}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1743143}
\zmath{https://zbmath.org/?q=an:0937.37053}
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