Connections on central bimodules in noncommutative differential geometry.
Dubois-Violette, Michel ; Michor, Peter W.
HAL, hal-00013531 / Harvested from HAL
Text on HAL
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.
Publié le : 1996-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00013531,
     author = {Dubois-Violette, Michel and Michor, Peter W.},
     title = {Connections on central bimodules in noncommutative differential geometry.},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00013531}
}

Dubois-Violette, Michel; Michor, Peter W. Connections on central bimodules in noncommutative differential geometry.. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00013531/