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arXiv · 0704.1446

Curvature in Synthetic Differential Geometry of Groupoids

Hirokazu Nishimura
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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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Hirokazu Nishimura. 2007-04-11. Curvature in Synthetic Differential Geometry of Groupoids. https://arxiv.org/abs/0704.1446

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