Einstein Metrics on Rational Homology 7-Spheres
Differential Geometry
2007-05-23 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0108113,
title = {Einstein Metrics on Rational Homology 7-Spheres},
author = {Charles P. Boyer and Krzysztof Galicki and Michael Nakamaye},
journal= {arXiv preprint arXiv:math/0108113},
year = {2007}
}
Comments
19 pages