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Lobachevskii Journal of Mathematics, 2006, Volume 23, Pages 183–192 (Mi ljm21)  

Differential complex associated to closed differential forms of nonconstant rank

M. A. Malakhaltsev

Kazan State University
References:
Abstract: In the present paper we construct a complex of sheaves associated to a closed differential form $\omega$. We study this complex in case $\omega$ is a) a closed 1-form vanishing at an embedded submanifold, b) a symplectic structure with Martinet singularities. In particular, we prove that, under additional conditions on $\omega$, this complex gives a fine resolution for the sheaf of infinitesimal automorphisms of $\omega$.
Keywords: complex of sheaves, closed 1-form, Martinet singularity, sheaf of infinitesimal automorphisms.
Submitted by: V. V. Lychagin
Received: 02.08.2006
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Language: English
Citation: M. A. Malakhaltsev, “Differential complex associated to closed differential forms of nonconstant rank”, Lobachevskii J. Math., 23 (2006), 183–192
Citation in format AMSBIB
\Bibitem{Mal06}
\by M.~A.~Malakhaltsev
\paper Differential complex associated to closed differential forms of nonconstant rank
\jour Lobachevskii J. Math.
\yr 2006
\vol 23
\pages 183--192
\mathnet{http://mi.mathnet.ru/ljm21}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2293369}
\zmath{https://zbmath.org/?q=an:1118.58009}
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