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arXiv 2013-11-26 DOI 10.1007/s10455-014-9436-y 0 views

On the stability of Einstein manifolds

Kroencke, Klaus

Original · EN

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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