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We construct a family of Hermitian metrics on the Hopf surface $\mathbb{S}^3\times \mathbb{S}^1$, whose fundamental classes represent distinctcohomology classes in the Aeppli cohomology group. These metrics are locallyconformally 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 eachof the two has a neighbourhood so that fibres therein are given by stableharmonic maps from 2-torus and outside, far away from the two tori, there areunstable harmonic ones that are also unstable minimal surfaces.

On stability of the fibres of Hopf surfaces as harmonic maps and minimal surfaces