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ЖУРНАЛЫ // Lobachevskii Journal of Mathematics // Архив

Lobachevskii J. Math., 2006, том 23, страницы 183–192 (Mi ljm21)

Differential complex associated to closed differential forms of nonconstant rank

M. A. Malakhaltsev

Kazan State University

Аннотация: 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 $\omega$.

Ключевые слова: complex of sheaves, closed 1-form, Martinet singularity, sheaf of infinitesimal automorphisms.

Представлено: В. В. Лычагин
Поступило: 02.08.2006

Язык публикации: английский



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