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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 299, Pages 152–161 (Mi znsl1120)  
Jacobi algebras on flat manifolds

V. S. Kalnitsky

Saint-Petersburg State University
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Abstract: A classification theorem for the Jacobi algebras on flat manifolds is proved. The proof involves a generalization of a result about the Lie algebra $\mathrm{aff}_n(\mathbb R)$.
Received: 28.12.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 131, Issue 1, Pages 5345–5350
DOI: https://doi.org/10.1007/s10958-005-0406-6
Bibliographic databases:
UDC: 514.762
Language: Russian
Citation: V. S. Kalnitsky, “Jacobi algebras on flat manifolds”, Geometry and topology. Part 8, Zap. Nauchn. Sem. POMI, 299, POMI, St. Petersburg, 2003, 152–161; J. Math. Sci. (N. Y.), 131:1 (2005), 5345–5350
Citation in format AMSBIB
\Bibitem{Kal03}
\by V.~S.~Kalnitsky
\paper Jacobi algebras on flat manifolds
\inbook Geometry and topology. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 299
\pages 152--161
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1120}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2038259}
\zmath{https://zbmath.org/?q=an:1147.53066}
\elib{https://elibrary.ru/item.asp?id=13478487}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 131
\issue 1
\pages 5345--5350
\crossref{https://doi.org/10.1007/s10958-005-0406-6}
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