3 papers
math.DG2026
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…
math.NA2026
Stable High-Order Interpolation on the Grassmann Manifold by Maximum-Volume Coordinates and Arnoldi Orthogonalization
Qiang Niu, Wen Jiang, Jie Fei +2
High-order interpolation on the Grassmann manifold $\Gr(n, p)$ is often hindered by the computational overhead and derivative instability of SVD-based geometric mappings. To solve…
math.DG2024
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…