On jet like bundles of vector bundles

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2021 Poland, Czech Republic Publisher:Mathematical Society of Serbia (Društvo Matematičara Srbije), Belgrade

Authors: Doupovec, Miroslav; Kurek, Jan; Mikulski, Włodzimierz;

handle: 11012/203099

On jet like bundles of vector bundles

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Abstract

Summary: We describe completely the so called jet like functors of a vector bundle \(E\) over an \(m\)-dimensional manifold \(M\), i.e. bundles \(FE\) over \(M\) canonically depending on \(E\) such that \(F(E_1\times_M E_2)=FE_1\times_MFE_2\) for any vector bundles \(E_1\) and \(E_2\) over \(M\). Then we study how a linear vector field on \(E\) can induce canonically a vector field on \(FE\).

Countries

Poland, Czech Republic

Related Organizations

Brno University of Technology
Czech Republic
Jagiellonian University
Poland

Keywords

Bundle functor, jet, bundle functor, Natural bundles, Jets in global analysis, vector bundle, module bundle, natural transformation, Differentiable manifolds, foundations, gauge bundle functor, (gauge) natural operator

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