Abstract
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.
Originalsprog | Engelsk |
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Tidsskrift | Theoretical Computer Science |
Vol/bind | 412 |
Nummer | 36 |
Sider (fra-til) | 4770-4777 |
Antal sider | 8 |
ISSN | 0304-3975 |
DOI | |
Status | Udgivet - 2011 |