Gap theorem on K\"ahler manifold with nonnegative orthogonal bisectional curvature

Lei Ni; Yanyan Niu

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arXiv · 1708.03534

Gap theorem on K\"ahler manifold with nonnegative orthogonal bisectional curvature

Lei Ni·Yanyan Niu

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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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BibTeX RIS

Lei Ni, Yanyan Niu. 2017-08-11. Gap theorem on K\"ahler manifold with nonnegative orthogonal bisectional curvature. https://arxiv.org/abs/1708.03534

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