Classification of pinched constantly curved holomorphic two-spheres in complex Grassmannians

In this paper, we completely classify constantly curved holomorphic immersions from the two-sphere into a general complex Grassmann manifold G(k, N) with the norm of the second fundamental form satisfying the equality case of the Simons-type integral inequality for holomorphic curves in G(k, N) established by Wang et al. (2022). It is proven that any such immersion can be decomposed as the “direct sum” of some “foundation stones” up to congruence.