Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential Calculi and Linear Connections   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.

26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom