数学季刊 ›› 2020, Vol. 35 ›› Issue (3): 311-319.doi: 10.13371/j.cnki.chin.q.j.m.2020.03.006
摘要: This paper deals with vanishing results for Lf2 harmonic p-forms on complete metric measure spaces with a weighted p-Poincaré inequality. Some results are without curvature assumptions for 1 ≤ p ≤ n-1 and the others are with assumptions on lower bound of the m-Bakry-émery Ricci curvature for p = 1. These are weighted version for the corresponding results of the present author(J. Math. Anal. Appl., 2020, 490).
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