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Infinitesimal Isometries on Compact Manifolds
Published online by Cambridge University Press: 20 November 2018
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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}.
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- Copyright © Canadian Mathematical Society 1980