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Lobachevskii Journal of Mathematics, 2006, Volume 23, Pages 183–192
(Mi ljm21)
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Differential complex associated to closed differential forms of nonconstant rank
M. A. Malakhaltsev Kazan State University
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.
Citation:
M. A. Malakhaltsev, “Differential complex associated to closed differential forms of nonconstant rank”, Lobachevskii J. Math., 23 (2006), 183–192
Linking options:
https://www.mathnet.ru/eng/ljm21 https://www.mathnet.ru/eng/ljm/v23/p183
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Abstract page: | 329 | Full-text PDF : | 106 | References: | 68 |
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