Connections on central bimodules
q-alg
2009-10-28 v2 dg-ga
微分几何
量子代数
摘要
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.
引用
@article{arxiv.q-alg/9503020,
title = {Connections on central bimodules},
author = {Michel Dubois-Violette and Peter W. Michor},
journal= {arXiv preprint arXiv:q-alg/9503020},
year = {2009}
}
备注
27 pages, AMS-LaTeX