On Weil like functors on flag vector bundles with given length
نویسندگان
چکیده
Let ? 2 be a fixed natural number. The complete description is given of the product preserving gauge bundle functors F on category F?VB flag vector bundles K = (K;K1,...,K?) length in terms systems I (I1,..., I??1) A-module homomorphisms Ii : Vi+1 Vi for Weil algebras A and finite dimensional (over R) A-modules V1,...,V?. so called iteration problem investigated. affinors FK are classified. gauge-natural operators C lifting ?-flag-linear (i.e. with flow F?VB) fields X to C(X) completely described. concept lift semi-basic tangent valued p-form introduced. That preserves Fr?licher-Nijenhuis bracket deduced. obtained results applied study prolongation torsion connections.
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ژورنال
عنوان ژورنال: Filomat
سال: 2023
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2309755d