Constant curved minimal 2-spheres in \(G(2,4)\)
In this paper, the authors give a complete classification for minimal immersions (neither holomorphic nor antiholomorphic) of 2-spheres with constant induced Gaussian curvature in the complex Grassmann manifold \(G(2,4)\). Essentially, four cases appear. They use the harmonic sequence method developed by \textit{S. S. Chern} and \textit{J. G. Wolfson} [in Ann. Math. 125, 301-335 (1987; Zbl 0627.58017)]. The classification in the holomorphic case is announced in a preprint of the first author.
scientific article; zbMATH DE number 1385135