On the Steinness of a class of Kähler manifolds

Albert Chau, Luen-Fai Tam

Published 2006-10-18, updated 2007-08-21Version 2

Let $(M^n, g)$ be a complete non-compact K\"ahler 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.