Description of jet like functors on vector bundles by means of module bundle functors on the bases-Reference-Cited by-同舟云学术

Description of jet like functors on vector bundles by means of module bundle functors on the bases

Published:2024 Issue:1 Volume:38 Page:241-260
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Doupovec Miroslav¹,Kurek Jan²,Mikulski Włodzimierz³

Affiliation:

1. Institute of Mathematics, Brno University of Technology, FSI VUT Brno, Brno, Czech Republic

2. Institute of Mathematics, Maria Curie Sklodowska University, Lublin, Poland

3. Institute of Mathematics, Jagiellonian University, Cracow, Poland

Abstract

Let C be an admissible category over manifolds and VBC be the category of vector bundles with bases being C-objects and vector bundle maps with base maps being C-maps. Assume that any C-morphism is a local isomorphism. We describe all jet like functors (i.e. fiber product preserving gauge bundle functors) of order r on VBC by means of Jr(?,R)-module bundle functors on C. Then we describe all jet like functors of vertical type of order r on VBC by means of vector bundle functors on C of order r. As an application we classify jet like functors of some type on VBm. Finally, we determine all natural Jr(M,R)-module bundle structures on the vector bundles JrE ? M and Jrv E ? M, where E ? M is a vector bundle with m-dimensional basis and m ? 2.

Publisher

National Library of Serbia

Reference14 articles.

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