Affine Structures on Jet and Weil Bundles

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dc.creatorBlázquez-Sanz, David
dc.date2009-01-28
dc.date.accessioned2026-07-07T12:35:13Z
dc.date.available2026-07-07T12:35:13Z
dc.descriptionWeil algebra morphism induce natural transformations between Weil bundles. In some well known cases, a natural transformation is endowed with a canonical structure of affine bundle. We show that this structure arises only when the Weil algebra morphism is surjective and its kernel has null square. Moreover, in some cases, this structure of affine bundle is passed down to Jet spaces. We give a characterization of this fact in algebraic terms. This algebraic condition also determines an affine structure between the groups of automorphisms of related Weil algebras
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0901.4483
dc.identifierhttp://arxiv.org/abs/0901.4483
dc.identifierDavid Blázquez-Sanz, Affine Structures in Jet and Weil Bundles Colloq. Math. 114 (2009), no. 2, 291-305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217701
dc.subjectDifferential Geometry
dc.subject58A20; 58A32
dc.titleAffine Structures on Jet and Weil Bundles
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