Abstract

It is still an open problem that a complete open Kahler manifold with positive bisectional curvature is Stein. This paper partially resolves the problem by putting a restriction to volume growth condition. The partial solution here improves the observation in B. Wong and Q.-S. Zhang (Asian J Math 7(3):341, 2003). The improvement is based on assuming a weaker volume growth condition that is not sufficiently maximal.

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