Integration of 1-forms and connections

Anders Kock

We present a geometric/combinatorial version of the theorem that a flat torsion-free affine connection on a manifold locally may be integrated into an affine structure.

Keywords: Flat and torsion free affine connection. Synthetic differential geometry

2020 MSC: 53B05, 51K10, 20N10

Theory and Applications of Categories, Vol. 40, 2024, No. 11, pp 324-336.

Published 2024-05-02.

http://www.tac.mta.ca/tac/volumes/40/11/40-11.pdf

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