On non-±holomorphic conformal minimal two-spheres in a complex Grassmannian G(2,5) with constant curvature

We classify the linearly full non-±holomorphic conformal minimal two-spheres with constant curvature and isotropy order no less than 2 in G(2,5) up to U(5). We also classify non-±holomorphic strongly isotropic linearly full conformal minimal two-spheres which are reducible at both sides in G(2,n).