Sasakian Geometry, Hypersurface Singularities, and Einstein Metrics
Differential Geometry
2007-05-23 v2 High Energy Physics - Theory
Algebraic Geometry
Abstract
We review our study of Sasakian geometry as an agent for proving the existence of Einstein metrics on odd dimensional manifolds. Particular emphasis is given to the Sasakian structures occuring on links of isolated hypersurface singularities.
Cite
@article{arxiv.math/0405256,
title = {Sasakian Geometry, Hypersurface Singularities, and Einstein Metrics},
author = {Charles P. Boyer and Krzysztof Galicki},
journal= {arXiv preprint arXiv:math/0405256},
year = {2007}
}
Comments
This is an expository article that grew out of notes for the three lectures the second author presented during the XXIV-th Winter School of {\it Geometry and Physics} in Srni, Czech Republic, in January of 2004., 30 pages. Some new examples and references were added