TY  - JOUR
A1  - Kroencke, Klaus
T1  - On the stability of Einstein manifolds
T2  - Annals of global analysis and geometry
N2  - 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.
KW  - Einstein-Hilbert action
KW  - variational stability
KW  - Eigenvalue problem
KW  - Weyl tensor
Y1  - 2015
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/39400
SN  - 0232-704X
SN  - 1572-9060
VL  - 47
IS  - 1
SP  - 81
EP  - 98
PB  - Springer
CY  - Dordrecht
ER  -