Abstract
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<n1+2 or 2n1+2<p<n, and assume the radial section curvatures satisfy -c(1-c)r2≤Kr≤c(1-c)r2 on M-{Q}, where 1>C>(1+2)p-1n-1, then Hp = {0}. If M has a soul, then similar result is obtained.
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