What question did this study set out to answer?

The focus is on introducing A-admissible systems and describing Weil like functors on triple vector bundles.

January 24, 2026Filomat0 citationsOpen Access

Lifting triple linear vector fields to Weil like functors on triple vector bundles

Key Points

The focus is on introducing A-admissible systems and describing Weil like functors on triple vector bundles.
Introduced the concept of A-admissible systems.
Described Weil like functors in terms of AF-admissible systems.
Presented a framework for lifting triple linear vector fields to new vector fields.
Completed the description of gauge bundle functors for triple vector bundles.
Outlined how natural operators can effectively lift vector fields through the proposed framework.

Abstract

Given a Weil algebra A, the concept of A-admissible systems ? is introduced. The complete description is given of the Weil like functors (i.e. product preserving gauge bundle functors) F on the category of triple vector bundles in terms of the AF-admissible systems ?F . Given a Weil like functor F on the category of triple vector bundles, the complete description of natural operators C lifting triple linear vector fields Z on a triple vector bundle K to vector fields CZ on FK is presented.

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