Einstein Metrics on Rational Homology 7-Spheres

Details Einstein Metrics on Rational Homology 7-Spheres Einstein Metrics on Rational Homology 7-Spheres

2001-08-16

arxiv.org/abs/math/0108113v1

Ann Inst. Fourier, 52 (2002), 1569-1584.

Mathematics

Differential Geometry

19 pages

Scientific paper

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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