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
Download:     Adobe PDF     Compressed Postscript      
Version to read:     Adobe PDF
Acta Mathematica Universitatis Comenianae
Institute of Applied Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovak Republic
Telephone: + 421-2-60295111 Fax: + 421-2-65425882
e-Mail: amuc@fmph.uniba.sk
  Internet: www.iam.fmph.uniba.sk/amuc
©
Copyright 2003, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE