Siu Y T, Yau S T
Yale University, Department of Mathematics, New Haven, Connecticut 06520.
Proc Natl Acad Sci U S A. 1976 Apr;73(4):1008. doi: 10.1073/pnas.73.4.1008.
We prove that a complete simply-connected Kähler manifold with nonpositive sectional curvature is biholomorphic to the complex Euclidean space if the curvature is suitably small at infinity.
我们证明,如果一个完备单连通的具有非正截面曲率的凯勒流形在无穷远处曲率适当小,那么它双全纯等价于复欧几里得空间。