dc.contributor.author |
Bushueva G. |
|
dc.contributor.author |
Shurygin V. |
|
dc.date.accessioned |
2018-09-17T21:59:09Z |
|
dc.date.available |
2018-09-17T21:59:09Z |
|
dc.date.issued |
2005 |
|
dc.identifier.issn |
1995-0802 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/135685 |
|
dc.description.abstract |
The Weil bundle Tdouble-struck A signMn of an n-dimensional smooth manifold Mn determined by a local algebra double-struck A sign in the sense of A. Weil carries a natural structure of an n-dimensional A-smooth manifold. This allows ones to associate with T double-struck A signMn the series Br(double- struck A sign)Tdouble-struck A signMn, r = 1,...,∞, of double-struck A sign-smooth r-frame bundles. As a set, Br(double- struck A sign)Tdouble-struck A signMn consists of r-jets of double-struck A sign-smooth germs of diffeomorphisms (double-struck A signn, 0) → Tdouble-struck A signMn. We study the structure of double-struck A sign-smooth r-frame bundles. In particular, we introduce the structure form of Br(double-struck A sign)Tdouble-struck A signMn and study its properties. Next we consider some categories of m-parameter-dependent manifolds whose objects are trivial bundles Mn × ℝm → ℝm, define (generalized) Weil bundles and higher order frame bundles of m-parameter-dependent manifolds and study the structure of these bundles. We also show that product preserving bundle functors on the introduced categories of m-parameter-dependent manifolds are equivalent to generalized Weil functors. |
|
dc.relation.ispartofseries |
Lobachevskii Journal of Mathematics |
|
dc.subject |
Higher order connection |
|
dc.subject |
Product preserving bundle functor |
|
dc.subject |
Weil bundle |
|
dc.title |
On the higher order geometry of weil bundles over smooth manifolds and over parameter-dependent manifolds |
|
dc.type |
Article |
|
dc.relation.ispartofseries-volume |
18 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
53 |
|
dc.source.id |
SCOPUS19950802-2005-18-SID25644443802 |
|