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http://hdl.handle.net/10662/16182
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Campo DC | Valor | idioma |
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dc.contributor.author | Mikulski, W.M. | - |
dc.date.accessioned | 2022-11-14T09:52:49Z | - |
dc.date.available | 2022-11-14T09:52:49Z | - |
dc.date.issued | 2006 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/16182 | - |
dc.description.abstract | Let 𝐴 be a Weil algebra and V be an 𝐴 -module with dimR V < ∞. Let E → M be a vector bundle and let 𝑇 ᴬ՚ᵛ c→ 𝑇 ᴬ M be the vector bundle corresponding to (𝐴, V). We construct canonically a linear semibasic tangent valued p-form 𝑇 ᴬ՚ᵛφ: 𝑇 ᴬ՚ᵛ E → ∧p 𝑇 ∗ 𝑇 ᴬM ⊗T AM 𝑇 𝑇 ᴬ՚ᵛE on 𝑇 A, V E → 𝑇 A M from a linear semibasic tangent valued p-form φ: E → ∧p 𝑇 ∗ M ⊗ 𝑇 E on E → M . For the Frolicher-Nijenhuis bracket we prove that [[𝑇 A,V φ, 𝑇 A,V ψ]] = 𝑇 A,V ([[φ, ψ]]) for any linear semibasic tangent valued p- and q- forms φ and ψ on → M . We apply these results to linear general connections on E → M. | es_ES |
dc.format.extent | 14 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 | Álgebra de Weil | es_ES |
dc.subject | Módulo de Weil | es_ES |
dc.subject | Functor de paquete correspondiente a Weil módulo | es_ES |
dc.subject | Forma valorada de tangente semibásica lineal | es_ES |
dc.subject | Corchete de Frolicher-Nijenhuis | es_ES |
dc.subject | Operador natural | es_ES |
dc.subject | Conexión general lineal | es_ES |
dc.subject | Curvatura de la conexión general lineal | es_ES |
dc.subject | Weil algebra | es_ES |
dc.subject | Weil module | es_ES |
dc.subject | Bundle functor corresponding to Weil module | es_ES |
dc.subject | Linear semibasic tangent valued form | es_ES |
dc.subject | Frolicher-Nijenhuis bracket | es_ES |
dc.subject | Natural operator | es_ES |
dc.subject | Linear general connection | es_ES |
dc.subject | Curvature of linear general connection | es_ES |
dc.title | Prolongation of linear semibasic tangent valued forms to product preserving gauge bundles of vector bundles | 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 | 1201 Álgebra | es_ES |
dc.subject.unesco | 1202 Análisis y Análisis Funcional | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | MIKULSKI, W.M. (2006). Prolongation of linear semibasic tangent valued forms to product preserving gauge bundles of vector bundles. Extracta Mathematicae, 21 (3), 273-286. 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 | 273 | es_ES |
dc.identifier.publicationlastpage | 286 | es_ES |
dc.identifier.publicationvolume | 21 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 21, nº 3 (2006) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_21_3_273.pdf | 167,84 kB | Adobe PDF | Descargar |
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