We show that the degree of the linearly full constantly curved holomorphic 2-spheres in the complex Grassmannians G(2, n + 2;C) is greater than or equal to n for general n and less than or equal to 2n for n = 2, 3.

In this paper, the theory of functions of one complex variable is explored to study linearly full unramified holomorphic two-spheres with constant curvature in $G(2,n)$ satisfying that the generated… Expand

Abstract:This paper gives a complete classification for minimal 2-spheres with constant Gaussian curvature immersed in the complex Grassmann manifold G(2,4).

The general theory.- Surfaces in R 3 under the Euclidean group of proper motions.- Curves in real Grassmannians.- Holomorphic curves in complex projective space.- Holomorphic curves in complex… Expand