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Published online by Cambridge University Press: 20 November 2018
Let X denote a non-vanishing infinitesimal isometry on a compact Riemannian manifold Mn . Let denote the deRham complex of M. We write i(X) for the operator of interior product, and L(X) the Lie derivative on the elements of A(M). We define E(M) = {u ∈ A(M)| i(X)u = 0, L(X)u= 0}.