Curvature in Synthetic Differential Geometry of Groupoids

Abstract

We study the fundamental properties of curvature in groupoids within the framework of synthetic differential geometry. As is usual in synthetic differential geometry, its combinatorial nature is emphasized. In particular, the classical Bianchi identity is deduced from its combinatorial one.

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References in corpus (2)

• The Lie algebra of the group of bisections
• Another coboundary operator for differential forms with values in the Lie algebra bundle of a group bundle