Connections on central bimodules

Details Connections on central bimodules Connections on central bimodules

1995-03-31

arxiv.org/abs/q-alg/9503020v2

J. Geom. Physics, 20 (1996), 218-232

Mathematics

Differential Geometry

27 pages, AMS-LaTeX

Scientific paper

10.1016/0393-0440(95)00057-7

We define and study the theory of derivation-based connections on a recently introduced class of bimodules over an algebra which reduces to the category of modules whenever the algebra is commutative. This theory contains, in particular, a noncommutative generalization of linear connections. We also discuss the different noncommutative versions of differential forms based on derivations. Then we investigate reality conditions and a noncommutative generalization of pseudo-riemannian structures.

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