Conformal-biharmonic index of the identity map coincides with the harmonic index on such Einstein manifolds, except on the 4-dimensional sphere.
Institut de Recherche Math´ ematique Avanc´ ee, Uni- versit´ e de Strasbourg, Strasbourg
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On the conformal-biharmonic stability of the identity map of Einstein manifolds
Conformal-biharmonic index of the identity map coincides with the harmonic index on such Einstein manifolds, except on the 4-dimensional sphere.