# Degree of constantly curved holomorphic 2-spheres in the complex Grassmannians G(2,n+2;C)

@inproceedings{He2022DegreeOC, title={Degree of constantly curved holomorphic 2-spheres in the complex Grassmannians G(2,n+2;C)}, author={Ling He}, year={2022} }

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.

## One Citation

### Fano 3-folds and classification of constantly curved holomorphic $2$-spheres of degree $6$ in the complex Grassmannian $G(2,5)$

- 2022

## References

SHOWING 1-10 OF 30 REFERENCES

### On holomorphic two-spheres with constant curvature in the complex Grassmann manifold G(2,n)

- Mathematics
- 2019

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…

### CONSTANT CURVED HOLOMORPHIC 2-SPHERES IN ( ) 4 , 2 G

- Mathematics
- 2008

A complete classification for holomorphic 2-spheres with constant Gaussian curvature immersed in the complex Grassmann manifold ( ) 4 , 2 G is given.

### Classification of minimal homogeneous two-spheres in the complex Grassmann manifold G(2,n)

- Mathematics
- 2015

### On holomorphic curves of constant curvature in the complex grassmann manifold G(2, 5)

- Mathematics
- 2011

### Classification of holomorphic spheres of constant curvature in complex Grassmann manifold G2,5

- Mathematics
- 2004

### Classification of homogeneous holomorphic two-spheres in complex Grassmann manifolds

- MathematicsDifferential Geometry and its Applications
- 2019

### Constant curved minimal 2-spheres in G(2,4)

- Mathematics, Computer Science
- 1999

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

### Higher Order Contact of Submanifolds of Homogeneous Spaces

- Mathematics
- 1977

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…