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Holonomy Pseudogroup of a Manifold Over the Algebra of Dual Numbers and Some its Applications

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dc.contributor.author Malyugina A.
dc.contributor.author Shurygin V.
dc.date.accessioned 2020-01-15T21:45:40Z
dc.date.available 2020-01-15T21:45:40Z
dc.date.issued 2019
dc.identifier.issn 1066-369X
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/155705
dc.description.abstract © 2019, Allerton Press, Inc. We study properties of the holonomy pseudogroup on a total immersed transversal of the canonical foliation on a smooth manifold over the algebra of dual numbers ⅅ. We apply holonomy pseudogroups to the investigation of ⅅ-diffeomorphisms between quotient manifolds of the algebra ⅅ by lattices and between ⅅ-smooth manifolds naturally associated with an affine manifold.
dc.relation.ispartofseries Russian Mathematics
dc.subject affine manifold
dc.subject foliated bundle
dc.subject foliation
dc.subject manifold over the algebra of dual numbers
dc.subject tangent bundle
dc.subject tangent manifold
dc.subject torus over the algebra of dual numbers
dc.subject Weil bundle
dc.title Holonomy Pseudogroup of a Manifold Over the Algebra of Dual Numbers and Some its Applications
dc.type Article
dc.relation.ispartofseries-issue 2
dc.relation.ispartofseries-volume 63
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 74
dc.source.id SCOPUS1066369X-2019-63-2-SID85067281554


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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