On Mallios  -connections as connections on principal sheaves

doi:10.1285/i15900932v14n2p237

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

Efstathios Vassiliou

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

Full Text: PDF

This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.

Username
Password
Remember me

Note di Matematica

On Mallios -connections as connections on principal sheaves

Abstract

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