Certain curvature conditions for stability of Einstein manifolds with respect
to the Einstein-Hilbert action are given. These conditions are given in terms
of quantities involving the Weyl tensor and the Bochner tensor. In dimension
six, a stability criterion involving the Euler characteristic is given.Comment: 18 papers, published version. The published version only contains a
part of the first version of this paper. The other part is published
elsewhere and will be uploaded on the arXiv separatel
