On holomorphic two-spheres with constant curvature in the complex Grassmann manifold G(2,n)
Differential Geometry
2020-03-06 v4
Abstract
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 that the generated harmonic sequence degenerates at position . Firstly, we determine the value distribution of the curvature and give the explicit characterization of such holomorphic two-spheres in terms of a polynomial equation. Then, applying this characterization, many examples of non-homogeneous constantly curved holomorphic two-spheres are constructed.
Keywords
Cite
@article{arxiv.1903.09990,
title = {On holomorphic two-spheres with constant curvature in the complex Grassmann manifold G(2,n)},
author = {Jie Fei and Ling He},
journal= {arXiv preprint arXiv:1903.09990},
year = {2020}
}