On the stability of Einstein manifolds
arXiv:1311.6749 · doi:10.1007/s10455-014-9436-y
Abstract
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.
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 separately
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- Internal symmetries in Kaluza-Klein models
- Cosmic Censorship near FLRW spacetimes with negative spatial curvature