Minimal Lagrangian surfaces in \(\mathbb S^2 \times \mathbb S^2\) (Q2466697)

The manifold \(S^2\times S^2\) carries the Kähler structure given as the product of the Riemann surface \(S^2\) with itself. The article under review studies minimal Lagrangian surfaces in \(S^2\times S^2\). Locally, such surfaces can be described as Gauss maps of surfaces in \(S^3\subset \mathbb R^4\). The article also studies the second variation of the area. Several important examples are characterized by their stability behavior. The presentation of the article is very clear, and many examples are given. For a detailed exposition of the results we refer to the very well-written introduction of the article.