PROJECTIVE MODULE DESCRIPTION OF EMBEDDED NONCOMMUTATIVE SPACES

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ar X iv : 0 81 0 . 23 57 v 1 [ m at h - ph ] 1 4 O ct 2 00 8 PROJECTIVE MODULE DESCRIPTION OF EMBEDDED NONCOMMUTATIVE SPACES

Noncommutative differential geometry over the Moyal algebra is developed following an algebraic approach. It is then applied to investigate embedded noncommutative spaces. We explicitly construct the projective modules corresponding to the tangent bundles of the noncommutative spaces, and recover from this algebraic formulation the metric, Levi-Civita connection and related curvature introduced...

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ژورنال

عنوان ژورنال: Reviews in Mathematical Physics

سال: 2010

ISSN: 0129-055X,1793-6659

DOI: 10.1142/s0129055x10004028