On the stability of Einstein manifolds
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🧮 math.DG
math-phmath.MP
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givenstabilityconditionseinsteininvolvingmanifoldstensoraction
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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.
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