A. Ntyam, G. F. Wankap Nono, Bitjong Ndombol (2016)
Archivum Mathematicum
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We present some lifts (associated to a product preserving gauge bundle functor on vector bundles) of sections of the dual bundle of a vector bundle, some derivations and linear connections on vector bundles.
Pedro L. García (1972)
Rendiconti del Seminario Matematico della Università di Padova
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Włodzimierz M. Mikulski (2011)
Annales Polonici Mathematici
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Let 𝓟𝓑 be the category of principal bundles and principal bundle homomorphisms. We describe completely the product preserving gauge bundle functors (ppgb-functors) on 𝓟𝓑 and their natural transformations in terms of the so-called admissible triples and their morphisms. Then we deduce that any ppgb-functor on 𝓟𝓑 admits a prolongation of principal connections to general ones. We also prove a "reduction" theorem for prolongations of principal connections into principal ones by means...
Ivan Kolář (2012)
Czechoslovak Mathematical Journal
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We characterize Weilian prolongations of natural bundles from the viewpoint of certain recent general results. First we describe the iteration of two natural bundles and . Then we discuss the Weilian prolongation of an arbitrary associated bundle. These two auxiliary results enables us to solve our original problem.
Efstathios Vassiliou (1976)
Rendiconti del Seminario Matematico della Università di Padova
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