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arXiv:math/0108113 [math.DG]AbstractReferencesReviewsResources

Einstein Metrics on Rational Homology 7-Spheres

Charles P. Boyer, Krzysztof Galicki, Michael Nakamaye

Published 2001-08-16Version 1

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.

Comments: 19 pages
Journal: Ann Inst. Fourier, 52 (2002), 1569-1584.
Categories: math.DG, math.AG
Subjects: 53C25, 53C12, 14E30
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