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arXiv · 1903.04594

Complete open Kahler manifolds with nonnegative bisectional curvature and non-maximal volume growth

James W. Ogaja
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Abstract

It is still an open problem that a complete open Kahler manifold with positive bisectional curvature is Stein. This paper partially resolve the problem by putting a restriction to volume growth condition. The partial solution here improves the observation in ([8], page 341). The improvement is based on assuming a weaker volume growth condition that is not sufficiently maximal.

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James W. Ogaja. 2019-03-11. Complete open Kahler manifolds with nonnegative bisectional curvature and non-maximal volume growth. https://arxiv.org/abs/1903.04594

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