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Trudy Geometricheskogo Seminara, 2003, Volume 24, Pages 129–138
(Mi kutgs36)
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This article is cited in 1 scientific paper (total in 1 paper)
On holonomy representations of manifolds modelled on modules over Weil algebra
L. В. Smolyakova Kazan State University
Abstract:
In [5], [6], for the canonical foliations of manifolds over local algebra $\mathbf A$ determined by ideals of $\mathbf A$, V. V. Shurygin defined and studied holonomy leaf representations. In the present paper we define holonomy representations for manifolds modelled on an $\mathbf A$-module $\mathbf L=\mathbf A^n\oplus\mathbf B^m$, where $\mathbf B$ is a quotient algebra of $\mathbf A$, and find interrelation of these representations with the holonomy representations defined in the foliation theory [3], [4] and in the theory of $(X,G)$-manifolds [1].
Citation:
L. В. Smolyakova, “On holonomy representations of manifolds modelled on modules over Weil algebra”, Tr. Geom. Semin., 24, Kazan Mathematical Society, Kazan, 2003, 129–138
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