English

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

Differential Geometry 2019-03-15 v2

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.

Keywords

Cite

@article{arxiv.1903.04594,
  title  = {Complete open Kahler manifolds with nonnegative bisectional curvature and non-maximal volume growth},
  author = {James W. Ogaja},
  journal= {arXiv preprint arXiv:1903.04594},
  year   = {2019}
}