On the stability of Einstein manifolds
Differential Geometry
2015-08-05 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1311.6749,
title = {On the stability of Einstein manifolds},
author = {Klaus Kroencke},
journal= {arXiv preprint arXiv:1311.6749},
year = {2015}
}
Comments
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