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http://hdl.handle.net/10662/15392
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Campo DC | Valor | idioma |
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dc.contributor.author | Mikulski, W.M. | - |
dc.date.accessioned | 2022-08-26T11:04:52Z | - |
dc.date.available | 2022-08-26T11:04:52Z | - |
dc.date.issued | 2007 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/15392 | - |
dc.description.abstract | We construct canonically a general connection Aᶠ (Ґ,∇) on Fₚ: FY → FM from a general connection Ґ on a fibred manifold p: Y → M by means of a projectable classical linear connection ∇ on Y , where 𝐹 : M𝑓 → Vβ is a vector bundle functor. In the case of a not necessarily vector bundle functor F : M𝑓 →FM we find some simple equivalent condition on the existence of a general connection A(Ґ,∇) on Fₚ : FY →FM from a general connection Ґ on Y → M by means of a projectable classical linear connection. ∇ on Y . We present a construction of a classical linear connection Aᶠ (∇) on FY from a projectable classical linear connection ∇ on Y for any fiber product preserving bundle functor 𝐹: FMₘ → FM. We characterize bundle functors 𝐹: Fₘ,ₙ→ FM which admit a construction of a classical linear connection A(∇) on FY from a projectable classical linear connection ∇ on Y . We characterize gauge bundle functors 𝐹: VBₘ,ₙ → FM which admit a construction of a classical linear connection A (D, ∇) on FE from a linear general connection D on E → M by means of a classical linear connection ∇ on M. | es_ES |
dc.format.extent | 18 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura, Servicio de Publicaciones | es_ES |
dc.rights | Attribution-NonCommercial 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.subject | Conexión genera | es_ES |
dc.subject | Conexión lineal clásica | es_ES |
dc.subject | Funtor de haz (vector) (gauge) | es_ES |
dc.subject | Producto de fibra que conserva el funtor de haz | es_ES |
dc.subject | Álgebra de Weil | es_ES |
dc.subject | Isomorfismo natural | es_ES |
dc.subject | Operador natural (gauge) | es_ES |
dc.title | On the existence of prolongations of connections by bundle functors | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1202 Análisis y Análisis Funcional | es_ES |
dc.subject.unesco | 1202.01 Álgebra de Operadores | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | MIKULSKI, W.M. (2007). On the existence of prolongations of connections by bundle functors. Extracta Mathematicae, 22 (3), 297-314. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Jagiellonian University. Poland | es_ES |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 3 | es_ES |
dc.identifier.publicationfirstpage | 315 | es_ES |
dc.identifier.publicationlastpage | 324 | es_ES |
dc.identifier.publicationvolume | 22 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 22, nº 3 (2007) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_22_3_297.pdf | 205,32 kB | Adobe PDF | Descargar |
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