# On the stability of Einstein manifolds

#### Autoren: Klaus Kröncke (2015)

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.

Zeitschrift:
Ann. Global Anal. Geom.
Verlag:
Springer
Seiten:
81-98
Band:
47, no. 1

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