AbstractIn this paper, we establish a finiteness theorem for $L^{p}$
L
p
harmonic 1-forms on a locally conformally flat Riemannian manifold under the assumptions on the Schrödinger operators involving the squared norm of the traceless Ricci form. This result can be regarded as a generalization of Han’s result on $L^{2}$
L
2
harmonic 1-forms.
$L^{p}$ harmonic 1-forms on conformally flat Riemannian manifolds
