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arXiv · 2210.14024

Liouville Type Theorem about $p$-harmonic 1 form, $p$-harmonic map and harmonic $ q $ form

Xiangzhi Cao
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Abstract

In this paper, we will use the normalized intetral Ricci curvature to investigate Liouville type property of $ p $ harmonic function on Riemannian manifold. secondly, we will use the BiRic curvature to obtian Liuville theorem for $ p $ harmonic function or $ p $ harmonic 1 form. Lastly, we we will use the BiRic curvature to obtian Liouville theorem forharmonic $ q(q\geq 2)$ form.

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Xiangzhi Cao. 2022-10-25. Liouville Type Theorem about $p$-harmonic 1 form, $p$-harmonic map and harmonic $ q $ form. https://arxiv.org/abs/2210.14024

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