$L^2$-harmonic $p$-forms on submanifolds with finite total curvature

Jundong Zhou

Let $H^p(L^2(M))$ be the space of all $L^2$-harmonic $p$-forms $(2\le p\le n-2)$ on complete submanifolds $M$ with flat normal bundle in spheres. In this paper, we first show tha…