Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On stability of the fibres of Hopf surfaces as harmonic maps and minimal
  surfaces   We construct a family of Hermitian metrics on the Hopf surface $
\mathbb{S}^3\times \mathbb{S}^1$, whose fundamental classes represent distinct
cohomology classes in the Aeppli cohomology group. These metrics are locally
conformally K\"ahler. Among the toric fibres of $\pi:\mathbb{S}^{3} \times
\mathbb{S}^1\to\mathbb{C} P^1$ two of them are stable minimal surfaces and each
of the two has a neighbourhood so that fibres therein are given by stable
harmonic maps from 2-torus and outside, far away from the two tori, there are
unstable harmonic ones that are also unstable minimal surfaces.

27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci