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Affine connections, midpoint formation, and point reflection

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  • Department of Mathematical Sciences
We describe some differential-geometric structures in combinatorial terms: namely affine connections and their torsion and curvature, and we show that torsion free affine connections may equivalently be presented in terms of some simpler combinatorial structure: midpoint formation, and point reflection (geodesic symmetry). The method employed is that of synthetic differential geometry, which is briefly explained.
Original languageEnglish
JournalTheoretical Computer Science
Pages (from-to)4770-4777
Number of pages8
Publication statusPublished - 2011

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