Displaying similar documents to “Einstein metrics on exotic spheres in dimensions 7, 11 and 15.”

Einstein metrics on rational homology 7-spheres

Charles P. Boyer, Krzysztof Galicki, Michael Nakamaye (2002)

Annales de l’institut Fourier

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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.