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

2019/03/11 by James W. Ogaja, Ogaja, James W.
Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1903.04594

openalex publication_date 2019/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

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

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