In this paper, we give some vanishing theorems for harmonic p-forms on complete noncompact Riemannian manifolds satisfying a weighted p-Poincaré inequality with nonnegative scalar curvature and under pointwise curvature pinching conditions which are bounded from above by the weight function.

中文翻译：

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具有非负标量曲率和加权p-Poincaré不等式的黎曼流形的消失定理

在本文中，我们给出了完全非紧黎曼流形上的调和p形式的消失定理，这些流形满足加权p-庞加莱不等式和非负标量曲率，并且在点向曲率收缩条件下受权函数限制。