@article{Kroencke2015, author = {Kroencke, Klaus}, title = {On the stability of Einstein manifolds}, series = {Annals of global analysis and geometry}, volume = {47}, journal = {Annals of global analysis and geometry}, number = {1}, publisher = {Springer}, address = {Dordrecht}, issn = {0232-704X}, doi = {10.1007/s10455-014-9436-y}, pages = {81 -- 98}, year = {2015}, abstract = {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.}, language = {en} }