Geodesic
Linear Connections on Almost Commutative Algebras
Acta mathematica Universitatis Comenianae, Tome 72 (2003) no. 2 
C. Ciupala. Linear Connections on Almost Commutative Algebras. Acta mathematica Universitatis Comenianae, Tome 72 (2003) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2003_72_2_a7/
@article{AMUC_2003_72_2_a7,
     author = {C. Ciupala},
     title = {Linear {Connections} on {Almost} {Commutative} {Algebras}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2003},
     volume = {72},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2003_72_2_a7/}
}
TY  - JOUR
AU  - C. Ciupala
TI  - Linear Connections on Almost Commutative Algebras
JO  - Acta mathematica Universitatis Comenianae
PY  - 2003
VL  - 72
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AMUC_2003_72_2_a7/
ID  - AMUC_2003_72_2_a7
ER  - 
%0 Journal Article
%A C. Ciupala
%T Linear Connections on Almost Commutative Algebras
%J Acta mathematica Universitatis Comenianae
%D 2003
%V 72
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2003_72_2_a7/
%F AMUC_2003_72_2_a7

Voir la notice de l'article provenant de la source Comenius University

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.