%0 Journal Article
%T Einstein Metrics on Rational Homology 7-Spheres
%A Charles P. Boyer
%A Krzysztof Galicki
%A Michael Nakamaye
%J Mathematics
%D 2001
%I arXiv
%X In this paper we demonstrate the existence of Sasakian-Einstein structures on certain 2-connected rational homology 7-spheres. These appear to be the first non-regular examples of Sasakian-Einstein metrics on simply connected rational homology spheres. We also briefly describe the rational homology 7-spheres that admit regular positive Sasakian structures.
%U http://arxiv.org/abs/math/0108113v1