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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 |