Einstein Metrics on Rational Homology 7-Spheres

@article{Boyer2001EinsteinMO,
  title={Einstein Metrics on Rational Homology 7-Spheres},
  author={C. Boyer and K. Galicki},
  journal={arXiv: Differential Geometry},
  year={2001}
}
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. 
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