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On Mallios \mathcal A-connections as connections on principal sheaves


Abstract


Motivated by [5], we associate a vector sheaf \varepsilon with a principal sheaf \mathcal P\varepsilon), called sheaf of frames of \varepsilon. We show that \mathcal A-connections on \varepsilon correspond to connections on \mathcal P(\varepsilon). The latter are defined by an appropriate family of local matrices or, equivalently, by a morphism acting on \mathcal P(\varepsilon), analogously to the operator of an \mathcal A$-collection.

DOI Code: 10.1285/i15900932v14n2p237

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