数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (3): 379-387.
陈志华, 周朝晖
CHEN Zhi-Hua, ZHOU Chao-Hui
摘要:
This paper is concernod with the L2 harmonic forms of a complete noncompact Riemannian manifold, i.e. If M has a pole Q, let 0 < p < n 1+p2
or p2n 1+p2 < p < n, and assume the radial section curvatures satisfy −c(1−c) r 2 Kr c(1−c) 2 on M − {Q}, where 1 > c > (1+p2)p−1 n−1 , then Hp = {0}. If M has a soul, then similar result is obtained
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