ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXII, 2 (2003)
p. 197 206

Linear Connections on Almost Commutative Algebras
C. Ciupala


Abstract.  In this paper we study linear connection on bimodules over almost commutative algebras using the framework of noncommutative geometry. We also present its curvature and its torsion. As an example there are presented linear connections on $N$-dimmensional quantum hyperplane over two kind of bimodules.

AMS subject classification:  81R60, 16W99, 53C04;
Keywords:  Noncommutative geometry, quantum hyperplane, linear connections

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