Affine connections, midpoint formation, and point reflection

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    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.
    OriginalsprogEngelsk
    TidsskriftTheoretical Computer Science
    Vol/bind412
    Nummer36
    Sider (fra-til)4770-4777
    Antal sider8
    ISSN0304-3975
    DOI
    StatusUdgivet - 2011

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