Einstein Metrics on Rational Homology Spheres
Differential Geometry
2008-11-26 v1 High Energy Physics - Theory
Algebraic Geometry
Abstract
We prove the existence of Sasakian-Einstein metrics on infinitely many rational homology spheres in all odd dimensions greater than 3. In dimension 5 we obain somewhat sharper results. There are examples where the number of effective parameters in the Einstein metric grows exponentially with dimension.
Cite
@article{arxiv.math/0311355,
title = {Einstein Metrics on Rational Homology Spheres},
author = {Charles P. Boyer and Krzysztof Galicki},
journal= {arXiv preprint arXiv:math/0311355},
year = {2008}
}
Comments
8 pages