A Liouville theorem on complete non-K\"ahler manifolds
Differential Geometry
2018-05-30 v1
Abstract
In this paper, we prove a Liouville theorem for holomorphic functions on a class of complete Gauduchon manifolds. This generalizes a result of Yau for complete K\"ahler manifolds to the complete non-K\"ahler case.
Cite
@article{arxiv.1805.11215,
title = {A Liouville theorem on complete non-K\"ahler manifolds},
author = {Yuang Li and Chuanjing Zhang and Xi Zhang},
journal= {arXiv preprint arXiv:1805.11215},
year = {2018}
}