Vanishing Theorems on Smooth Metric Measure Spaces with a Weighted p-Poincare Inequality  

作　　者：ZHOU Jiu-ru 

机构地区：[1]School of Mathematical Sciences,Yangzhou University,Yangzhou 225000,China

出　　处：《Chinese Quarterly Journal of Mathematics》2020年第3期311-319,共9页数学季刊（英文版）

基　　金：Partially supported by National Science Foundation of China(11426195,11771377);Natural Science Foundation of Jiangsu Province(BK20191435)。

摘　　要：This paper deals with vanishing results for Lf^2 harmonic p-forms on complete metric measure spaces with a weighted p-Poincare 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-Emery Ricci curvature for p=1.These are weighted version for the corresponding results of the present author(J.Math.Anal.Appl.,2020,490).

关 键 词：Lf^2 harmonic forms weighted p-Poincare inequality first p spectrum of f-Laplacian m-Bakry-Emery Ricci curvature 

分 类 号：O186.1[理学—数学]