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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.

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Metadaten
Author details:Klaus Kroencke
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
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