Liouville Type Theorem about $p$-harmonic 1 form, $p$-harmonic map and harmonic $ q $ form
Differential Geometry
2022-10-26 v1
Abstract
In this paper, we will use the normalized intetral Ricci curvature to investigate Liouville type property of harmonic function on Riemannian manifold. secondly, we will use the BiRic curvature to obtian Liuville theorem for harmonic function or harmonic 1 form. Lastly, we we will use the BiRic curvature to obtian Liouville theorem forharmonic form.
Cite
@article{arxiv.2210.14024,
title = {Liouville Type Theorem about $p$-harmonic 1 form, $p$-harmonic map and harmonic $ q $ form},
author = {Xiangzhi Cao},
journal= {arXiv preprint arXiv:2210.14024},
year = {2022}
}