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 |
|