Liouville properties of plurisubharmonic functions
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We prove a Liouville theorem for the plurisubharmonic functions on complete Kaelher manifolds. As the applications, we prove a splitting theorem for complete Kaehler manifolds with nonnegative biscetional curvature in terms of the linear growth harmonic functions and a optomal gap theorem for such manifolds.
Keywords
Cite
@article{arxiv.math/0212364,
title = {Liouville properties of plurisubharmonic functions},
author = {Lei Ni and Luen-Fai Tam},
journal= {arXiv preprint arXiv:math/0212364},
year = {2007}
}