Name: On the stability of Einstein manifolds
Creator: Kroencke, Klaus
Keywords: Mathematics - Differential Geometry, Differential Geometry (math.DG), 0103 physical sciences, Institut für Mathematik, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), 0101 mathematics, 16. Peace & justice, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 14 Aug 2014Embargo end date: 01 Jan 2013 English Publisher:Springer Science and Business Media LLCJournal:Annals of Global Analysis and Geometry, volume 47, pages 81-98 (issn: 0232-704X, eissn: 1572-9060,

Authors: Kroencke, Klaus;

doi: 10.1007/s10455-014-9436-y , 10.48550/arxiv.1311.6749

arXiv: http://arxiv.org/abs/1311.6749

On the stability of Einstein manifolds

- Summary
- Subjects
- Metrics

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

Related Organizations

University of Potsdam
Germany

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), Institut für Mathematik, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	26
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average