7 papers
The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3
Chuzi Duan, Ling He
We prove that the moduli space of all noncongruent linearly full totally real flat minimal immersions from the complex plane C into HP^3 that do not lie in CP^3 has three component…
Constantly curved holomorphic two-spheres in the complex Grassmannian G(2,6) with constant square norm of the second fundamental form
Jie Fei, Ling He, Jun Wang
We completely classify all noncongruent linearly full totally unramified constantly curved holomorphic two-spheres in G(2,6) with constant square norm of the second fundamental for…
Degree of constantly curved holomorphic 2-spheres in the complex Grassmannians G(2,n+2;C)
Ling He
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 th…
Totally Real Flat Minimal Surface in Hyperquadric
Ling He, Xiaoxiang Jiao, Mingyan Li
In this paper, we study geometry of totally real minimal surfaces in the complex hyperquadric , and obtain some characterizations of the harmonic sequence generated by the…
On holomorphic two-spheres with constant curvature in the complex Grassmann manifold G(2,n)
Jie Fei, Ling He
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 satisfying…
Totally Real Flat Minimal Surfaces in Quaternionic Projective Spaces
Ling He, Xianchao Zhou
In this paper, we study totally real minimal surfaces in the quaternionic projective space . We prove that the linearly full totally real flat minimal surfaces of is…
The singular set of triholomorphic maps into quartic K3 surface
Ling He, Jiayu Li
We prove that any weakly triholomorphic map from a compact hyperkähler surface to an algebraic K3 surface defined by a homogeneous polynomial of degree 4 in has onl…