Gap theorem on K\"ahler manifold with nonnegative orthogonal bisectional curvature
Differential Geometry
2017-08-14 v1
Abstract
In this paper we prove a gap theorem for K\"ahler manifolds with nonnegative orthogonal bisectional curvature and nonnegative Ricci curvature, which generalizes an earlier result of the first author. We also prove a Liouville theorem for plurisubharmonic functions on such a manifolds, which generalizes a previous result of L.-F. Tam and the first author.
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Cite
@article{arxiv.1708.03534,
title = {Gap theorem on K\"ahler manifold with nonnegative orthogonal bisectional curvature},
author = {Lei Ni and Yanyan Niu},
journal= {arXiv preprint arXiv:1708.03534},
year = {2017}
}
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14 pages