Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry on the Wasserstein space over a compact Riemannian manifold   We will revisit the intrinsic differential geometry of the Wasserstein space
over a Riemannian manifold, due to a series of papers by Otto, Villani, Lott,
Ambrosio, Gigli, Savar\'e and so on.

33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg