A note about the isotropy groups of 2-plane bundles over closed surfaces.
A. Minatta, R. Piccinini, M. Spreafico (2003)
Collectanea Mathematica
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A. Minatta, R. Piccinini, M. Spreafico (2003)
Collectanea Mathematica
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Ivan Kolář (1980)
Commentationes Mathematicae Universitatis Carolinae
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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.
Narasimhan, M. S.
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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...
Katarzyna Konieczna, Pawel Urbański (1999)
Archivum Mathematicum
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The notions of the dual double vector bundle and the dual double vector bundle morphism are defined. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.