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- W2964181003 abstract "An algebraic formulation is given for the embedded noncommutative spaces over the Moyal algebra developed in a geometric framework in [8]. We explicitly construct the projective modules corresponding to the tangent bundles of the embedded noncommutative spaces, and recover from this algebraic formulation the metric, Levi–Civita connection and related curvatures, which were introduced geometrically in [8]. Transformation rules for connections and curvatures under general coordinate changes are given. A bar involution on the Moyal algebra is discovered, and its consequences on the noncommutative differential geometry are described." @default.
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- W2964181003 date "2010-06-01" @default.
- W2964181003 modified "2023-09-23" @default.
- W2964181003 title "PROJECTIVE MODULE DESCRIPTION OF EMBEDDED NONCOMMUTATIVE SPACES" @default.
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- W2964181003 doi "https://doi.org/10.1142/s0129055x10004028" @default.
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