Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemannian Geometry on Quantum Spaces   An algebraic formulation of Riemannian geometry on quantum spaces is
presented, where Riemannian metric, distance, Laplacian, connection, and
curvature have their counterparts. This description is also extended to complex
manifolds. Examples include the quantum sphere, the complex quantum projective
spaces and the two-sheeted space.

10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess