Differential calculi and linear connections

被引：40

作者：

Dimakis, A ^{[1
]}

Madore, J ^{[1
]}

机构：

[1] UNIV PARIS 11,PHYS THEOR & HAUTES ENERGIES LAB,F-91405 ORSAY,FRANCE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1996年 / 37卷 / 09期

关键词：

D O I：

10.1063/1.531645

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method is proposed for defining an arbitrary number of differential calculi over a given noncommutative associative algebra. As an example the generalized quantum plane is studied. It is found that there is a strong correlation, but not a one-to-one correspondence, between the module structure of the 1-forms and the metric torsion-free connections on it. In the commutative limit the connection remains as a shadow of the algebraic structure of the 1-forms. (C) 1996 American Institute of Physics.

引用

页码：4647 / 4661

页数：15

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