On the Steinness of a class of Kähler manifolds
On the Steinness of a class of Kähler manifolds
Let (M n , g) be a complete non-compact Kähler manifold with non-negative and bounded holomorphic bisectional curvature.We prove that M is holomorphically covered by a pseudoconvex domain in C n which is homeomorphic to R 2n , provided (M n , g) has uniform linear average quadratic curvature decay.