Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new obstruction to minimal isometric immersions into a real space form   In the theory of minimal submanifold, the following problem is fundamental:
when does a given Riemannian manifold admit (or does not admit) a minimal
isometric immersion into an Euclidean space form of arbitrary dimension? A
partial solution of this problem was obtained by B.Y. Chen as an application of
his fundamental inequality [1]. In this paper we obtain another partial
solution of this problem.

21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ