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

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.