Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Locally Euclidean metrics on R^3   For all 0<t \leq 1, we define a locally Euclidean metric \rho_t on R^3. These
metrics are invariant under Euclidean isometries and, if t increases to 1,
converges to the Euclidean metric d_E. This research is motivated by expanding
universe.

11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ