Gap theorem on Kähler manifold with nonnegative orthogonal bisectional curvature

Abstract

In this paper we prove a gap theorem for Kähler 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.

arXiv comment14 pages

References in corpus (1)

• Poincaré-Lelong equation via the Hodge Laplace heat equation

Cited by in corpus (3)

• Kähler manifolds with almost non-negative curvature
• Comparison and vanishing theorems for Kähler manifolds
• Kähler-Ricci Shrinkers and Ancient Solutions with Nonnegative Orthogonal Bisectional Curvature