Linear connections on matrix geometries. (English) Zbl 0824.58008

Madore, J.; Masson, T.; Mourad, J.

Classical Quantum Gravity 12, No. 6, 1429-1440 (1995).

Summary: A general definition of a linear connection in noncommutative geometry has recently been proposed. Two examples are given of linear connections in noncommutative geometries which are based on matrix algebras. They both possess a unique metric connection.

MSC:

46L85	Noncommutative topology
46L87	Noncommutative differential geometry
53C05	Connections (general theory)

Keywords:

linear connection; noncommutative geometry; matrix algebras