Curvature in Synthetic Differential Geometry of Groupoids
Differential Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.0704.1446,
title = {Curvature in Synthetic Differential Geometry of Groupoids},
author = {Hirokazu Nishimura},
journal= {arXiv preprint arXiv:0704.1446},
year = {2007}
}
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