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Zapiski Nauchnykh Seminarov POMI, 1993, Volume 205, Pages 122–153 (Mi znsl5799)  
On some models in differential geometry

A. M. Nikitin
Full-text PDF (1057 kB)
Abstract: Some variants of axiomatics of algebras of “vector fields” in models of non-commutative differential geometry are considered. In the case of a commutative model (the De Rham complex) a matrix analogue of the Kadomtsev–Petviashvili Hierarchy is constructed. The corresponding Sato system is presented. The method of deformations of $D$-modules is used. Bibliography: 14 titles.
English version:
Journal of Mathematical Sciences, 1996, Volume 80, Issue 3, Pages 1837–1853
DOI: https://doi.org/10.1007/BF02362782
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. M. Nikitin, “On some models in differential geometry”, Differential geometry, Lie groups and mechanics. Part 13, Zap. Nauchn. Sem. POMI, 205, Nauka, St. Petersburg, 1993, 122–153; J. Math. Sci., 80:3 (1996), 1837–1853
Citation in format AMSBIB
\Bibitem{Nik93}
\by A.~M.~Nikitin
\paper On some models in differential geometry
\inbook Differential geometry, Lie groups and mechanics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1993
\vol 205
\pages 122--153
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5799}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1255308}
\zmath{https://zbmath.org/?q=an:0813.46067|0860.46048}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 80
\issue 3
\pages 1837--1853
\crossref{https://doi.org/10.1007/BF02362782}
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