Rigidity of holomorphic curves of constant curvature in G(2,5)

In this paper, we firstly use Aithal's results to obtain some characterization of the harmonic sequence generated by linearly full non-degenerate holomorphic curves in the complex Grassmann manifold G(2,5)G(2,5). Then we give a classification theorem of linearly full totally unramified holomorphic curves in G(2,5)G(2,5) with constant curvature.