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

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

Файлы в этом документе

Имя: SCOPUS1066369X-20 ...

Размер: 116.6Kb

Формат: PDF

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