On the Steinness of a class of Kähler manifolds

Details On the Steinness of a class of Kähler manifolds On the Steinness of a class of Kähler manifolds

2006-10-18

arxiv.org/abs/math/0610535v2

Mathematics

Differential Geometry

Theorem 1.1 has been improved, a new Theorem (Theorem 6.1) has been added

Scientific paper

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.

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