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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 |