On the stability of Einstein manifolds
- Certain curvature conditions for the 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.
Author details: | Klaus Kroencke |
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DOI: | https://doi.org/10.1007/s10455-014-9436-y |
ISSN: | 0232-704X |
ISSN: | 1572-9060 |
Title of parent work (English): | Annals of global analysis and geometry |
Publisher: | Springer |
Place of publishing: | Dordrecht |
Publication type: | Article |
Language: | English |
Year of first publication: | 2015 |
Publication year: | 2015 |
Release date: | 2017/03/27 |
Tag: | Eigenvalue problem; Einstein-Hilbert action; Weyl tensor; variational stability |
Volume: | 47 |
Issue: | 1 |
Number of pages: | 18 |
First page: | 81 |
Last Page: | 98 |
Funding institution: | Max-Planck Institute for Gravitational Physics |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer review: | Referiert |